When he was told the tills were empty, police say Faulkner took purses and wallets and fled in a Rent-A-Center truck.
According to police, a witness followed Faulkner in his car and called 911.
Police joined the chase and followed Faulkner to the Newark train station, where officers said he exited the truck and pointed a gun at a trooper.
Two troopers and a New Castle County officer fired their guns, fatally wounding Faulkner.
Faulkner's gun was found to be a pellet pistol.