A fixed ball type joint for a vehicle, comprising: an inner race connected to one end of a shaft; an outer race installed at the outside of the inner race; a plurality of balls for transmitting rotational power of the inner race to the outer race; and a cage for supporting the balls, wherein a first inner spherical radius of the outer race formed at the inside (X-in) with respect to an axis Y at which the balls are located when no joint angle is created is set to be smaller than a second inner spherical radius (R12') of the outer race at the outside (X-out) with respect to the axis Y when the axis Y is rotated in a clockwise direction by a first contact angle (α) around a joint center, and a track radius center (O1') of the track radius (R11') of the outer race is formed at a position wherein the axis Y is rotated in a counterclockwise direction by a first rotating angle (γ) from the center of the second inner spherical radius (R12') of the outer race around the joint center; and a first outer spherical radius of the inner race formed at the outside (X-out) with respect to the axis Y at which the balls are located when no joint angle is created is set to be larger than a second outer spherical radius (R22') of the inner race at the inside (X-in) with respect to the axis Y if the axis Y is rotated in a counterclockwise direction by a second contact angle (β) around the joint center, and a track radius center (O2') of the track radius of the inner race is formed at a position wherein the axis Y is rotated in a counterclockwise direction by a second rotating angle (δ) from the center of the second outer spherical radius (R22') of the inner race around the joint center, characterized in that the second inner spherical radius (R12') of the outer race is greater than the outer spherical radius of the cage, and that the first outer spherical radius of the inner race is smaller than the inner spherical radius of the cage. an inner race connected to one end of a shaft; an outer race installed at the outside of the inner race; a plurality of balls for transmitting rotational power of the inner race to the outer race; and a cage for supporting the balls, wherein a first inner spherical radius of the outer race formed at the inside (X-in) with respect to an axis Y at which the balls are located when no joint angle is created is set to be smaller than a second inner spherical radius (R12') of the outer race at the outside (X-out) with respect to the axis Y when the axis Y is rotated in a clockwise direction by a first contact angle (α) around a joint center, and a track radius center (O1') of the track radius (R11') of the outer race is formed at a position wherein the axis Y is rotated in a counterclockwise direction by a first rotating angle (γ) from the center of the second inner spherical radius (R12') of the outer race around the joint center; and a first outer spherical radius of the inner race formed at the outside (X-out) with respect to the axis Y at which the balls are located when no joint angle is created is set to be larger than a second outer spherical radius (R22') of the inner race at the inside (X-in) with respect to the axis Y if the axis Y is rotated in a counterclockwise direction by a second contact angle (β) around the joint center, and a track radius center (O2') of the track radius of the inner race is formed at a position wherein the axis Y is rotated in a counterclockwise direction by a second rotating angle (δ) from the center of the second outer spherical radius (R22') of the inner race around the joint center, characterized in that the second inner spherical radius (R12') of the outer race is greater than the outer spherical radius of the cage, and that the first outer spherical radius of the inner race is smaller than the inner spherical radius of the cage.