In a control apparatus for a hydraulically operated vehicular transmission which has a plurality of hydraulic engaging elements, an orifice is disposed in an oil passage which is communicated with a hydraulic engaging element for a low-speed transmission train. The control apparatus has a bypass passage which bypasses the orifice, a control valve which can be switched between a communicated state in which the bypass passage is in communication and a cut-off state in which the communication of the bypass passage is cut off, and a control circuit which changes over the control valve to the communicated state under a predetermined condition at a time of switching from a running range to a neutral range.