Below is the spec you need for your PC to run Oculus Rift.
Here are the specs Oculus recommends:
- Video Card: NVIDIA GTX 970 / AMD R9 290 equivalent or greater
- CPU: Intel i5-4590 equivalent or greater
- Memory: 8GB+ RAM
- Video Output: Compatible HDMI 1.3 video output
- USB Ports: 3x USB 3.0 ports plus 1x USB 2.0 port
- OS : Windows 7 SP1 64 bit or newer
Link to check your PC below...
You can check if your PC is ready here on the Oculus Rift page