A seat airbag for a vehicle is installed in a side part of a seat back and an airbag cushion thereof is deployed forward. A front portion of the cushion is divided into a head chamber disposed at an upper location, a chest chamber disposed at a central location and a pelvis chamber disposed at a lower location. The airbag protects a vehicle occupant while wrapping around the occupant with use of a first tether to a fourth tether that are integrally formed into a single string and connect the respective chambers to each other.