The present invention relates to an evaporator for an air conditioner of a vehicle, and the major object of the present invention is to provide the evaporator which is capable of decreasing the whole dimension of an evaporator and enhancing a heat exchange performance. To achieve the above objects, an evaporator includes an upper and lower header units comprising a tank member, a partition member, a header plate, an intermediate baffle, a finishing baffle; and a plurality of tubes comprising a front tube portion, a rear tube portion, a connection tube portion; and a wrinkle fin.