What is the name given to Jesus? At his birth he was called JESUS! After his exaltation he was given a NAME! 
Phillipians 2:9


  Wherefore God also hath highly exalted him, and given him a name which is above every name


What is that name?
Complementing Kris's and Nigel's answer, I'd like to add 2 resources; one is an answer to a similar question from gotquestions.org.  Another is from an exegetical commentary on Philippians by Dr. Bob Utley.  Commentary on the phrase "and bestowed on Him the name which is above every name" of Phil 2:9-11


  “and bestowed on Him the name which is above every name” This special exalted name is “Lord” (cf. v. 11). The verb (echarisato) in v. 9 means “graciously given” as in 1:29. The term “Lord” is an allusion to the OT covenant name for God, YHWH (cf. Exod. 3:14; 6:3), which the Jews were afraid to pronounce lest they break one of the Ten Commandments (cf. Exod. 20:7; Deut. 5:11). Therefore, they substituted the name Adon, which meant Lord, owner, husband. Jesus, who came in the form of a servant, was returned to His cosmic Lordship (cf. John 17:5; Col. 1:15–20). “Jesus is Lord” was the public, personal confession of faith for the early Church (cf. Rom. 10:9; 1 Cor. 8:6; 12:3). Jesus of Nazareth is given the supreme title of deity (cf. Eph. 1:21 and Heb. 1:4).


In both of the above resources as well as in Kris's &amp; Nigel's answer, the name is Lord (Greek Adon), which in the Old Testament as well as the New Testament signifies the God of Israel (there are countless texts where the same word is used for God).

This is the highest name (a.k.a title) that a being can have.  God the Father gave this title &amp; honor to Jesus because he was obedient to death, and not only raised him from the dead but also places him at his right hand side (another sign of honor; no other being is honored thus, higher than angels, see Heb 1).

Within the book of Philippians, the above phrase is part of an early Christian hymn that Paul quoted in his letter to the Philippian church (which he founded) to encourage them (and us) as Christians to emulate (see the larger context of Phil 2:1-11).