A valve for a vehicle may include a housing including a first inflow hole, a second inflow hole, a first exhaust hole, and a second exhaust hole, an inner body inserted in the housing and having a fixing groove, a fixing rod fixed to the fixing groove, a movable member slidably engaged to the lower end portion of the fixing rod to upwardly or downwardly move along the fixing rod according to a temperature of the transmission oil being flowed in the inside of the housing, a relief member including a penetration hole, wherein the lower end portion of the movable member is selectively movable therein, and slidably mounted in the lower end portion of the inner body, a first elastic member interposed between the movable member and the relief member, and a second elastic member interposed between the inner body and the relief member.