A solenoid valve assembly having two bobbins including the solenoids which are co-axially supported by a housing first and second valve bodies slidably supported in each axial bore of the two bobbins and movable independently with respect to energized conditions of the solenoids, an outlet port formed in the housing to receive control pressure from two different pressure sources applied to two inlet ports formed in the housing, a first, second, third and fourth valve core positioned within the housing, a single sleeve of non-magnetic material secured to the valve cores such that the valve cores are positioned within axial bores of the bobbins, passageways for communicating with the outlet and two inlet ports formed in the sleeve and valve cores, the first valve body being of a magnetic material which is axially movable and supported in the sleeve between the first valve core and the second valve core, the second valve body including magnetic material axially movable and supported in the sleeve between the third valve core and the fourth valve core and a member for biasing the valve bodies, respectively, in an axial direction.