What version of Premiere?
Premiere Pro 6
History of MINIMUM requirements from CS3 to Cloud to see if that card is DIRECTLY supported, or if you need to do the hack for CS6
If your nVidia card has at least 1Gig of video ram, use the nVidia Hack http://forums.adobe.com/thread/629557 - which is a simple entry in a "supported cards" file
Add this to your Program Files/Adobe/Adobe Premiere Pro CS6/cuda_supported_cards.txt file.
GeForce GTX 770
My GTX 770 is working fine.
You can actually just delete Program Files/Adobe/Adobe Premiere Pro CS6/cuda_supported_cards.txt
Premiere will then look at the hardware specs of your GPU and if it meets requirements, it will be used automatically, bypassing "the list".