A seat airbag for a vehicle is provided. The seat airbag is installed at a lateral side of a seat back to allow a cushion thereof to inflate forward. A front part of the cushion is divided into a head chamber disposed at an upper level, a chest chamber disposed at an intermediate level and a pelvis chamber disposed at a lower level. The airbag includes first to third tethers, which form a single cord connecting the chambers to one another, and are provided in the airbag to protect a passenger while surrounding the passenger.