Yes it will. But keep in mind this fight stick is not very good, other than it's wireless. If you are looking for an arcade stick, the SFIV tournament fight stick is the best out there. It use Japanese arcade Sanwa stick and buttons. I have one on PS3 and one on Xbox 360.
If price is an issue, pick up the Hori Real Arcade Pro. 3-SA. It's $90 and also use Sanwa stick and buttons. Be careful not to get the Pro 3. That's older model and only use Sanwa buttons, not stick.
Neither SFIV tournament nor Pro. 3-SA is wireless though.