Fuel Pump keeps running

[hemi8]

When I fire up the engine it runs a few minutes and stalls like it's normal ol' self but the fuel pump keeps on running till I turn the key off. Isn't the fuel pump supposed to cut off if the engine dies? Is there some relay that I should check or something?
Mike
86 GN

 

[riley]

I am no expert but u might want to check or just replace the fuel pump relay. It should stop after it pumps up to pressure. The relay in on the rightr side fender.