They said the residence caught fire before the shooting.
Wednesday's incident was the latest of at least eight deadly US mass shootings in the past three months, including a string of attacks at Atlanta-area day spas in mid-March and a rampage days later that left 10 people dead at a Colorado supermarket.
The shooting was first reported at about 6:50 a.m.
Santa Clara County Sheriff Laurie Smith said it was "undetermined" how the suspect died.
"There's a lot of speculation on fatalities", Davis said during a press conference at the scene.
Attorney General Merrick Garland has been briefed on the shooting, Justice Department spokesperson Anthony Coley told ABC News.
The facility has been evacuated, San Jose Mayor Sam Liccardo said. "We are in a very dark moment, but I am heartened to see the VTA family coming together to support their coworkers", Mayor Liccardo said.
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San Jose officials later announced that the suspect was also dead.
An exact number of dead is year to be confirmed by police, though its reported that between seven and eight are dead, and one person was rushed to hospital.
According to California police, a shooting took place at the Valley Transportation Authority control centre in San Jose with "multiple fatalities" and "multiple injuries".
The VTA earlier in the day announced that all light-rail service in the system will be suspended as of noon, with bus shuttles providing limited service for riders.
VTA Board of Directors chairperson Glenn Hendricks called the shooting a "horrible tragedy".
"We ask for people's prayers", Childress said. The victims include transit employees.
'The Sheriff's Office has set up a reunification center for families at the County Building at 70 Hedding St., near 1st Street.
VTA said service wasn't impacted.