Hebrew, then English. Open "What it means" under any line for the explanation.
Rabbi Simlai, one of the Sages: first praise God, then pray. So we open with the song David set to be sung daily before the Ark:
הוֹדוּ לַייָ קִרְאוּ בִשְׁמוֹ הוֹדִיעוּ בָעַמִּים עֲלִילֹתָיו.
Give thanks to Hashem, call out in His name, tell the peoples what He has done.
What it means
David gave this song to Asaf and his fellow Levites on the day the Ark (the chest that held the Tablets from Sinai) was brought to Jerusalem. Radak (Rabbi David Kimchi, Provence, around 1200) notes that these are two psalms, both also in Tehillim with small differences: Tehillim 105:1-15 up to "do My prophets no harm," and Tehillim 96 from "Sing to Hashem."
Divrei HaYamim I 16:7; Radak on Divrei HaYamim I 16:8שִׁירוּ לוֹ זַמְּרוּ לוֹ שִׂיחוּ בְּכָל נִפְלְאוֹתָיו. הִתְהַלְּלוּ בְּשֵׁם קָדְשׁוֹ יִשְׂמַח לֵב מְבַקְשֵׁי יְיָ.
Sing to Him, make music to Him, talk about all His wonders. Take pride in His holy name. Let the heart of those who seek Hashem be glad.
What it means
Sing to Him, make music to Him, talk about all His wonders. Take pride in His holy name. Let the heart of everyone who seeks Hashem be glad.
"Sing" and "make music" are two different things. Radak: "with the mouth and with an instrument." It was meant literally. The Levites David placed in front of the Ark had harps, lyres and cymbals, and two priests blew trumpets.
Radak on Divrei HaYamim I 16:9; Divrei HaYamim I 16:5-6דִּרְשׁוּ יְיָ וְעֻזּוֹ בַּקְּשׁוּ פָנָיו תָּמִיד. זִכְרוּ נִפְלְאֹתָיו אֲשֶׁר עָשָׂה מֹפְתָיו וּמִשְׁפְּטֵי פִיהוּ.
Search for Hashem and His strength, seek His presence always. Remember the wonders He has done, His signs and the rulings He has spoken.
What it means
Which wonders? The commentary printed under Rashi's name on Divrei HaYamim says: the ones that happened to the Ark. The Philistines captured it and were struck with a plague of mice. The cows that pulled it home walked straight ahead, though their calves were shut up behind them. "The whole song was made about the Ark."
Rashi on Divrei HaYamim I 16:12; Shmuel I 6:10-12זֶרַע יִשְׂרָאֵל עַבְדּוֹ בְּנֵי יַעֲקֹב בְּחִירָיו. הוּא יְיָ אֱלֹהֵינוּ בְּכָל הָאָרֶץ מִשְׁפָּטָיו.
You descendants of Israel, His servant, children of Yaakov, His chosen ones: He is Hashem our God. His judgments are in all the earth.
What it means
You descendants of Israel, His servant, children of Yaakov, His chosen ones: He is Hashem our God. His judgments reach all the earth.
In Tehillim 105 this line says "descendants of Avraham." Here it says "descendants of Israel." Radak explains that both mean the same people. Avraham had other descendants too. The descendants of Israel, meaning Yaakov, are only us.
Radak on Divrei HaYamim I 16:13; Tehillim 105:6זִכְרוּ לְעוֹלָם בְּרִיתוֹ דָּבָר צִוָּה לְאֶלֶף דּוֹר. אֲשֶׁר כָּרַת אֶת אַבְרָהָם וּשְׁבוּעָתוֹ לְיִצְחָק.
Remember His covenant forever, the word He commanded for a thousand generations, which He made with Avraham, and His oath to Yitzchak.
What it means
"A thousand generations" is read two ways. Radak: the promise to Avraham stands for a thousand generations. The Rashi commentary: "the word" is the Torah, which was meant to come after a thousand generations. The world could not last without it, so God passed over 974 of them. That leaves 26 from the creation of the world to the giving of the Torah.
Radak, Rashi and Metzudat David on Divrei HaYamim I 16:15וַיַּעֲמִידֶהָ לְיַעֲקֹב לְחֹק לְיִשְׂרָאֵל בְּרִית עוֹלָם. לֵאמֹר לְךָ אֶתֵּן אֶרֶץ כְּנָעַן חֶבֶל נַחֲלַתְכֶם.
He set it up for Yaakov as a fixed law, for Israel as a covenant forever, saying: To you I will give the land of Canaan, the portion you will inherit.
What it means
"To you" is one person. "Your inheritance" is many. Radak: the promise was said to each of the three fathers on his own, and "your inheritance" is spoken to all of Israel. The Rashi commentary: "With each and every one He made a covenant to give them the land of Canaan."
Radak and Rashi on Divrei HaYamim I 16:18בִּהְיוֹתְכֶם מְתֵי מִסְפָּר כִּמְעַט וְגָרִים בָּהּ. וַיִּתְהַלְּכוּ מִגּוֹי אֶל גּוֹי וּמִמַּמְלָכָה אֶל עַם אַחֵר.
When you were few enough to count, hardly any, and outsiders in the land, they wandered from nation to nation, from one kingdom to another people.
What it means
Why bring up how few they were? The Rashi commentary: so that no one can say you took the land because you were many. The promise was made when the family could be counted and had no fixed home. Avraham went to Egypt and to Gerar, Yitzchak moved too, and Yaakov spent twenty years in Lavan's house.
Rashi on Divrei HaYamim I 16:19-20לֹא הִנִּיחַ לְאִישׁ לְעָשְׁקָם וַיּוֹכַח עֲלֵיהֶם מְלָכִים.
He let no one exploit them, and for their sake He rebuked kings:
What it means
Which kings? Radak: Pharaoh and Avimelech. Each of them took Sarah, and each was stopped. God struck Pharaoh and his house with great plagues, and He came to Avimelech in a dream at night.
Radak on Divrei HaYamim I 16:21; Bereishit 12:17 and 20:3אַל תִּגְּעוּ בִּמְשִׁיחָי וּבִנְבִיאַי אַל תָּרֵעוּ.
Do not touch My anointed ones, and do My prophets no harm.
What it means
In the plain sense these are Avraham, Yitzchak and Yaakov. Radak: "My anointed ones" means My great ones, because kings honored them as if they were anointed kings. The Hittites called Avraham "a prince of God among us." And "My prophets" is meant literally. God told Avimelech about Avraham: "He is a prophet."
Radak on Divrei HaYamim I 16:19 and 16:22; Bereishit 23:6 and 20:7שִׁירוּ לַייָ כָּל הָאָרֶץ בַּשְּׂרוּ מִיּוֹם אֶל יוֹם יְשׁוּעָתוֹ. סַפְּרוּ בַגּוֹיִם אֶת כְּבוֹדוֹ בְּכָל הָעַמִּים נִפְלְאֹתָיו.
Sing to Hashem, all the earth. Announce His rescue day after day. Tell of His glory among the nations, His wonders among all the peoples.
What it means
A second song starts here. Seder Olam (an early rabbinic book of chronology) says the Levites sang the first part every morning and this part every afternoon. The Rashi commentary adds when: over the morning daily offering and over the afternoon one.
Seder Olam Rabbah 14; Rashi on Divrei HaYamim I 16:12כִּי גָדוֹל יְיָ וּמְהֻלָּל מְאֹד וְנוֹרָא הוּא עַל כָּל אֱלֹהִים. כִּי כָּל אֱלֹהֵי הָעַמִּים אֱלִילִים וַייָ שָׁמַיִם עָשָׂה.
For Hashem is great and greatly praised, and He is awesome above all gods. For all the gods of the peoples are empty idols, but Hashem made the heavens.
What it means
The Rashi commentary calls idols "emptiness, the work of human hands," and it notices one verb doing two jobs. The prophet Chavakuk describes a craftsman who "makes mute idols." Here, Hashem "made the heavens." One is made by people. The other made everything.
Rashi on Divrei HaYamim I 16:26; Chavakuk 2:18הוֹד וְהָדָר לְפָנָיו עֹז וְחֶדְוָה בִּמְקֹמוֹ.
Splendor and beauty are before Him, strength and joy are in His place.
What it means
The Gemara (the rabbis' discussions built on the Mishnah) quotes Rav Pappa learning from this verse: "There is no sadness in the presence of the Holy One." It then has to square that with a verse in which God weeps. Tehillim 96 has "strength and beauty in His sanctuary." This version has "strength and joy in His place."
Chagigah 5b; Tehillim 96:6הָבוּ לַייָ מִשְׁפְּחוֹת עַמִּים הָבוּ לַייָ כָּבוֹד וָעֹז. הָבוּ לַייָ כְּבוֹד שְׁמוֹ שְׂאוּ מִנְחָה וּבֹאוּ לְפָנָיו הִשְׁתַּחֲווּ לַייָ בְּהַדְרַת קֹדֶשׁ.
Give to Hashem, families of peoples, give to Hashem glory and strength. Give to Hashem the glory His name deserves. Bring a gift and come before Him. Bow to Hashem in the beauty of holiness.
What it means
Radak: this song was written about the Ark, but it is also about the future. When God brings us out of exile and gathers us, every family of peoples will give Him glory and strength, as the prophet Zechariah says: "Hashem will be King over all the earth."
Radak on Divrei HaYamim I 16:28חִילוּ מִלְּפָנָיו כָּל הָאָרֶץ אַף תִּכּוֹן תֵּבֵל בַּל תִּמּוֹט. יִשְׂמְחוּ הַשָּׁמַיִם וְתָגֵל הָאָרֶץ וְיֹאמְרוּ בַגּוֹיִם יְיָ מָלָךְ.
Tremble before Him, all the earth. Yes, the world is set firm. It will not be shaken. Let the heavens be glad and the earth rejoice, and let them say among the nations: Hashem reigns.
What it means
Tremble, and then be glad? The Rashi commentary explains the difference between kings. When a human being takes the throne, everyone is unhappy, because no one knows whether his judgments will sweep people away. When God reigns, heaven and earth are glad.
Rashi on Divrei HaYamim I 16:31יִרְעַם הַיָּם וּמְלוֹאוֹ יַעֲלֹץ הַשָּׂדֶה וְכָל אֲשֶׁר בּוֹ. אָז יְרַנְּנוּ עֲצֵי הַיָּעַר מִלִּפְנֵי יְיָ כִּי בָא לִשְׁפּוֹט אֶת הָאָרֶץ.
Let the sea and all that fills it thunder, let the field and everything in it celebrate. Then the trees of the forest will sing out before Hashem, because He is coming to judge the earth.
What it means
Why would anyone sing because a judge is coming? Metzudat David (a line-by-line commentary on the Prophets and Writings, 1700s): He comes to pay each one what his deeds have earned. The Rashi commentary, on the line before this: God comes only "to repair the world." The singing trees, Metzudat David adds, are a figure of speech for joy filling the world.
Metzudat David on Divrei HaYamim I 16:33; Rashi on 16:30הוֹדוּ לַייָ כִּי טוֹב כִּי לְעוֹלָם חַסְדּוֹ.
Give thanks to Hashem, for He is good, for His kindness lasts forever.
What it means
You know this line from Hallel. In Tehillim it also opens psalm 106, and the next two lines here are how that psalm ends. Later in this same chapter, David appoints Heiman, Yedutun and the other chosen singers "to thank Hashem, for His kindness is forever."
Tehillim 106:1; Divrei HaYamim I 16:41; Rashi on Divrei HaYamim I 16:34וְאִמְרוּ הוֹשִׁיעֵנוּ אֱלֹהֵי יִשְׁעֵנוּ וְקַבְּצֵנוּ וְהַצִּילֵנוּ מִן הַגּוֹיִם לְהוֹדוֹת לְשֵׁם קָדְשֶׁךָ לְהִשְׁתַּבֵּחַ בִּתְהִלָּתֶךָ.
And say: Save us, God who rescues us, gather us and rescue us from the nations, to give thanks to Your holy name, to take pride in praising You.
What it means
The Rashi commentary asks the obvious question: where had anyone been exiled in the days of David, that he should say "gather us from the nations"? Radak answers that David was telling them to pray, every single day, for the gathering of exiles that was still to come.
Rashi on Divrei HaYamim I 16:34; Radak on Divrei HaYamim I 16:35בָּרוּךְ יְיָ אֱלֹהֵי יִשְׂרָאֵל מִן הָעוֹלָם וְעַד הָעֹלָם וַיֹּאמְרוּ כָל הָעָם אָמֵן וְהַלֵּל לַייָ.
Blessed is Hashem, God of Israel, from forever and to forever. And all the people said Amen, and gave praise to Hashem.
What it means
The song ends at "forever." Radak: when the singers finished and said this verse, all the people answered Amen and gave praise to Hashem. Metzudat David reads the last words as David's instruction: everyone should say Amen, "meaning: it is true," and then add praise, each in his own way.
Radak and Metzudat David on Divrei HaYamim I 16:36