Question: God rested in the 7th day. Did He take a nap?  

Does the Bible indicate that He sleeps?

Answer: 
It is helpful to compare Genesis 1.1-2.3 to other Ancient Near Eastern (ANE) creation texts; the meaning of God 'resting' can be determined by verbal cues and literary parallels to other ANE creation accounts.

John H. Walton notes that *Enuma Elish* – after Tiamat is slain, after the functions of the world are established from her remains, after humanity has been created – concludes with the creation of a temple for the god Marduk: 'Below the firmament, whose grounding I have made firm, A house I shall build, let it be the abode of my pleasure. Within it I shall establish its holy place, I shall appoint my holy chambers, I shall establish my kingship' (5.121-124). Later, 'We will make a shrine, whose name will be a byword, your chamber that shall be our stopping place, we shall find rest therein' (6.51-52).

The climax of the creation of the world was the creation of a temple, which would serve as the place of 'rest' for the supreme god-king Marduk.

Genesis 2.2-3 describes day 7. At this point, 'the heavens and the earth were finished' already, so day 7 is not an act of creating anything. Instead, day 7 gives meaning to what has just been created: God comes to 'rest'. Appealing to other Hebrew texts, Walton states that 'divine rest' in ANE thought always occurs in a temple. One key text that substantiates this claim is Psalm 132, verses 7-8 and 13-14, which describes the temple in Jerusalem as the 'resting place' and 'dwelling' of God. This temple concept is further corroborated when he look back to day 6, where we find humanity is created as 'the image of God', i.e. God's temple icon.

The necessary conclusion then becomes that the universe that has been created on days 1-6 is God's temple. When God 'rests' in the universe he has just created, it means his presence has come to dwell in his cosmic temple.
Just to add to previous answers.

For clarity, Sleep is a physiological phenomenon,

"characterized by altered consciousness, relatively inhibited sensory activity, inhibition of nearly all voluntary muscles, and reduced interactions with surroundings." - <https://en.wikipedia.org/wiki/Sleep>

While it's a subject of ongoing research, sleep is generally associated with the need to rest, with being tired, a direct association with being material and mortal.

As stated, God is not human, He is immaterial and eternal (Revelation 1:8, John 4:24). The idea of God sleeping doesn't make sense. Similar to asking if a bachelor can be married.

The example given above with Elijah: 

> 
> At noon Elijah began to make fun of them. “Pray louder!” he said. “If Baal really is a god, maybe he is thinking, or busy, or traveling! Maybe he is sleeping so you will have to wake him!” (1 Kings 18:27, NCV)
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Elijah is not just making fun of his opponents god's failure to act. He is, in a sense, charging them with not being real god's (or not even being real at all!).