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1.
The act of punching into thin air, normally as a sign you are excited because you did something cool, or your team scored points in a match, and you want everyone to know about it. This is the equivalent to the 'woo-hoo' sound made by dumb chics when they are all talking about something stupid and they want to show their agreement on something dumb. It is important to chose the right moment when to air punch, and to do it right, or you will look like a douchebag.
that douche Larry always has to air punch when the Lakers score, he looks like such an ass

eventually i had to air punch with the rest of the crowd, they were starting to turn on me
by SiffBachelor June 03, 2009
 
2.
The act of throwing a punch in the air intended for someone or something, but without the physical contact. Usually done in an act of frustration and anger caused by the person or object used.
The stupid TV keeps shutting off. (An air punch is thrown toward the television.)

A quarrel in a type of relationship--the person air punches the other behind his/her back. The abusee feels the movement of air and can feel threatened, which leads to domestic violence.

A woman who suffers from PMS may show frustration through air punching.

Control air punching so that one doesn’t end up in an asylum or hospitalized.
by Latiga February 12, 2010
 
3.
When you are fighting someone, you keep missing you're punches, making you throw them in the air. Making an air punch.
Wow, Mike kept throwing Air Punches at Kyle! What a bitch!
by doodoo man March 04, 2008