Officers received reports of a fight at the gas station on Glendale Avenue near 12th Avenue at around 6:30 p.m. on Sunday.
Investigators later confirmed with a nearby hospital that a 19-year-old man was taken in with stab wounds.
The first person of interest is a woman in her 20s, who wears glasses and is about five foot four. The other person is a man, also in his 20s, who wears glasses and is about six feet tall.
Both were seen leaving in a dark-colored Chevrolet Tahoe.
Anyone with information is asked to contact the Hanford Police Department.