Brian Helfer, 47, stabbed his wife Ana Helfer, 51, twice in her torso at 8:36 a.m. in their Croft Place home, police said.
A Triborough Bridge and Tunnel Authority officer spotted a car owned by the couple on the Brooklyn-bound upper-level of the Verrazano around 8:43 a.m. and a witness saw a man who fit Brian Helfer's description jump off, police said.
The Coast Guard found his body and transported him to Staten Island University Hospital North, where he was pronounced dead, police said.
His wife was also taken to Staten Island University Hospital North where she remains in critical condition, police said.
Police did not know what sparked the violence and said an investigation was ongoing.