300ZX will not start

Nissan 300zx 1990 150,000 3.0Ltt. This happend all of a suddend. When I connect my battery cables the car flashes the brights on and off making a click click, click click sound over and over again and when I try to turn the car over I get nothing. I have a new battery, all the lights come up on the dash, and the clicking is coming from the fuse box on the driver side. Can feel the click on three of the fuses. What do you think the problem could be?

Thanks