Fuel pump running continuously.

I have a 93 3.0L with a constant running fuel pump with the key in the run position and engine off. I have just started hearing it and was wondering if this was normal as opposed to other makes that shut off when the fuel system is pressurized.

The pump should shut off when the system is pressurized. You could have a problem with the fuel pressure regulator or the fuel pump relay being stuck. Both will cause this issue.