A Brooklyn bus driver murdered his wife yesterday while their two teenage children were sleeping, police said.

The dead bodies were found at 8:43 a.m. at the family’s home in the Canarsie section of Brooklyn after a 911 call was placed by one of the driver’s teenage boys, police said.

The suspect, Keith Davis, 43, shot his wife in the head and then turned the gun on himself, police sources said.

Davis left a suicide note at the scene, the sources said.

While Davis didn’t have proof, he believed that his wife, a 42-year-old corrections officer, Hester Davis, had been involved in an affair, the sources said.

A police investigator on the scene said Davis was “mostly apologizing” in the note and that the couple had been in and out of counseling.

Several neighbors showed concern yesterday for the couple’s two sons, Jamaal, 17, and Kevin, 18.

“It’s a shame for those boys,” a neighbor who had known the children since they moved next door about 12 years ago, said. “One was supposed to go to college.”

According to another neighbor, who recently helped the family shovel snow from their driveway, there were no indications that the relationship was in turmoil.

“This is shocking,” she said.

While many neighbors in the suburban section of Brooklyn said they were acquaintances of the Davis family, most said the family kept to themselves.

Mrs. Davis had recently retired from her job as a corrections officer on Rykers Island after 20 years of service, a spokesman for the City of New York Department of Correction, Stephen Morello, said.