it should since it has a pcie2 x16 slot.
You need to make sure your power supply has the (probably an 8pin) pcie power cable to run it.
You'll need about a 450w PSU or more depending on how good a PSU you have.
I dont want to sound like a old man, but when you want to use adapter cables for a bit of current, dont. Get the right tool for the right job. To much power thru too little cable, smoke, fire. Dead pc