Solenoid valve with a valve housing consisting of a valve sleeve and a first magnetic armature, which have a common longitudinal axis, and with a second magnetic armature which is mounted displaceable between an open position and a closed position parallel to the longitudinal axis in the valve housing, wherein - the first armature has two end faces and a through channel (2.1) connecting the end faces along the longitudinal axis with an inlet opening (2.2) of the valve housing, - the valve sleeve has an outlet opening (1.3) on the side of the valve housing facing away from the inlet opening (2.2), - an elastic biasing element and/or an actuator exerts a force on the second armature in the direction of the outlet opening (1.3), - the second armature ∘ rests, in the closed position, with a valve seat seal in sealing manner against a valve seat (1.2), and in its open position releases at least one passage opening of the valve seat (1.2), and ∘ has a blind hole (4.1) extending parallel to the longitudinal axis in an end face (4.5) facing away from the valve seat, - the blind hole (4.1) is communicably connected via at least one fluid line (4.2) to a cavity on the side of the second armature facing the valve seat (1.2), - at least one segment of an outer wall (1.1) of the valve sleeve and at least one segment of a shell surface (2.4) of the first armature form a coil seat, - an outlet-side end face (2.6) of the first armature and an inlet-side end face (4.5) of the second armature delimit a cavity enclosed by an inner wall (1.4) of the valve sleeve in axial direction, - a section of the shell surface (2.4) of the first armature engages the valve sleeve on the inlet side, whereby a gap (1.8) with a gap opening on the cavity side is formed, characterized in that the inner wall (1.4) of the valve sleeve has an annular recess on the inlet side, which forms an inlet-side support surface (1.6), and that a sealing element is clamped between the inlet-side support surface (1.6) of the annular recess of the inner wall of the valve sleeve (1.4) and the outlet-side end face (2.6) of the first armature, whereby the cavity-side gap opening is closed. - the first armature has two end faces and a through channel (2.1) connecting the end faces along the longitudinal axis with an inlet opening (2.2) of the valve housing, - the valve sleeve has an outlet opening (1.3) on the side of the valve housing facing away from the inlet opening (2.2), - an elastic biasing element and/or an actuator exerts a force on the second armature in the direction of the outlet opening (1.3), - the second armature ∘ rests, in the closed position, with a valve seat seal in sealing manner against a valve seat (1.2), and in its open position releases at least one passage opening of the valve seat (1.2), and ∘ has a blind hole (4.1) extending parallel to the longitudinal axis in an end face (4.5) facing away from the valve seat, ∘ rests, in the closed position, with a valve seat seal in sealing manner against a valve seat (1.2), and in its open position releases at least one passage opening of the valve seat (1.2), and ∘ has a blind hole (4.1) extending parallel to the longitudinal axis in an end face (4.5) facing away from the valve seat, - the blind hole (4.1) is communicably connected via at least one fluid line (4.2) to a cavity on the side of the second armature facing the valve seat (1.2), - at least one segment of an outer wall (1.1) of the valve sleeve and at least one segment of a shell surface (2.4) of the first armature form a coil seat, - an outlet-side end face (2.6) of the first armature and an inlet-side end face (4.5) of the second armature delimit a cavity enclosed by an inner wall (1.4) of the valve sleeve in axial direction, - a section of the shell surface (2.4) of the first armature engages the valve sleeve on the inlet side, whereby a gap (1.8) with a gap opening on the cavity side is formed,