Also, the president has ordered US flags flown at half-staff at the White House and "in all public buildings and grounds, military posts and naval stations, and on all naval vessels of the Federal Government" to the 7th December.
So will in all embassies, consulates and diplomatic missions.
At least 14 people died and 17 were injured in the shootout in a help center for the disabled in the Californian town, whose suspects, a man and a woman, were killed by police hours later after a spectacular chase.
The police chief of San Bernardino, Jarrod Burguan, identified the suspects as Syed Farook, 28 and a US citizen, and Tashfeen Malik, wife, aged 27 and born in Pakistan.
Burguan said Farook was a county employee who worked at the building where the massacre took place and that on Wednesday attended the party held here on the occasion of Christmas, but left the "angry" instead and returned later with your partner and armed to carry out the shooting.
However, Obama said today to reporters that even the real motives of the attack are unknown and did not rule out this new episode of gun violence have terrorist links.
The slaughter of San Bernardino is the deadliest shooting in US from that recorded in 2012 at school in Newtown Sandy Hook (Connecticut), where they died shot dead 20 children and 6 women.
The shooting also came just five days after three people were killed in an attack on a clinic abortions in Colorado Springs (Colorado). EFE