Detectives believe Pedro Castellon Medina, 31, of San Jose, is responsible for the shooting death of Pedro and Marybel Jimenez in their home in the 300 block of North Seventh Street at about 4:20 a.m.
Pedro Jimenez, 28, and Marybel, 27 were pronounced dead after they were discovered in the home.
Neighbor Renee Zarate helped the couple's three children out of the house after hearing shots from across the street.
Zarate heard screaming coming from the house before the shots, and then saw a man in a black hooded sweatshirt flee.
After that, she recovered the three children, ages 3, 5 and 8, and guided them out of the house, afraid the gunman may return.
Police suspect that the murder was a domestic violence incident.
According to Zarate, Marybel and Pedro Jimenez had just reunited after a separation, and she speculated that the shooter might have been Marybel's ex-boyfriend.
Medina is believed to be either on his way to Southern California or already there, according to police.
He may be heading to Los Angeles, San Fernando, San Diego or Mexico, police said.
The suspect may use aliases to avoid detection and it is believed that he knows he is wanted.
If Medina is spotted, citizens are encouraged to call 911. Citizens should not attempt to apprehend the suspect as he is considered armed and dangerous.
This incident marks San Jose's 21st and 22nd homicides of 2012.
Persons wishing to provide information regarding this incident are urged to contact Detective Sergeant Stewart Davies or Detective Brian Spears in the San Jose Police Department's Homicide Unit at 408-277-5283.
Persons wishing to provide information anonymously may contact Silicon Valley Crime Stoppers at (408) 947-STOP(7867) or may visit www.svcrimestoppers.org and may be eligible for a reward.
—By Bay City News Service