At about 8 a.m., officers were called to the 1900 block of Tripoli Avenue on a report of a body in front of a home, Officer Albert Morales said.
Arriving officers found a Hispanic man in his 30s who had been shot, Morales said.
Paramedics declared the man dead at about 8:05 a.m.
No one has been arrested in connection with the crime, which remains under investigation.
It is San Jose's first homicide of 2013, Morales said.