A control valve apparatus of a power shovel, comprising: a first hydraulic circuit system communicating with a first pump port connected to a first pump; a second hydraulic circuit system communicating with a second pump port connected to a second pump; a first working control valve provided in the first hydraulic circuit system to control a first working actuator; and a second working control valve provided in the second hydraulic circuit system to control a second working actuator; characterized by a second-working-actuator acceleration control valve provided in the first hydraulic circuit system and connected to the first working control valve in parallel, the second-working-actuator acceleration control valve including: a pair of pilot chambers (23, 24), one pilot chamber receiving a pilot pressure for switching the first working control valve, the other pilot chamber receiving a pilot pressure for switching the second working control valve; a flow channel (33a, 33b) that guides a pressure fluid from the first pump port to an entrance port side of the second working control valve, wherein the second-working-actuator acceleration control valve is switchable between a first priority position in which a pressure fluid is guided to the first working control valve with a higher priority than the second working control valve by virtue of the pilot pressure of the one pilot chamber and a second priority position in which a pressure fluid is guided to the second working control valve with a higher priority than the first working control valve by virtue of the pilot pressure of the other pilot chamber, and wherein the second-working-actuator acceleration control valve further includes a first flow restriction portion provided in the flow channel in a case of the first priority position and a second flow restriction portion provided in the flow channel in a case of the second priority position, and an opening rate of the first flow restriction portion is lower than that of the second flow restriction portion. a first hydraulic circuit system communicating with a first pump port connected to a first pump; a second hydraulic circuit system communicating with a second pump port connected to a second pump; a first working control valve provided in the first hydraulic circuit system to control a first working actuator; and a second working control valve provided in the second hydraulic circuit system to control a second working actuator; characterized by a second-working-actuator acceleration control valve provided in the first hydraulic circuit system and connected to the first working control valve in parallel, the second-working-actuator acceleration control valve including: a pair of pilot chambers (23, 24), one pilot chamber receiving a pilot pressure for switching the first working control valve, the other pilot chamber receiving a pilot pressure for switching the second working control valve; a flow channel (33a, 33b) that guides a pressure fluid from the first pump port to an entrance port side of the second working control valve, wherein the second-working-actuator acceleration control valve is switchable between a first priority position in which a pressure fluid is guided to the first working control valve with a higher priority than the second working control valve by virtue of the pilot pressure of the one pilot chamber and a second priority position in which a pressure fluid is guided to the second working control valve with a higher priority than the first working control valve by virtue of the pilot pressure of the other pilot chamber, and wherein the second-working-actuator acceleration control valve further includes a first flow restriction portion provided in the flow channel in a case of the first priority position and a second flow restriction portion provided in the flow channel in a case of the second priority position, and an opening rate of the first flow restriction portion is lower than that of the second flow restriction portion. a pair of pilot chambers (23, 24), one pilot chamber receiving a pilot pressure for switching the first working control valve, the other pilot chamber receiving a pilot pressure for switching the second working control valve; a flow channel (33a, 33b) that guides a pressure fluid from the first pump port to an entrance port side of the second working control valve, wherein the second-working-actuator acceleration control valve is switchable between a first priority position in which a pressure fluid is guided to the first working control valve with a higher priority than the second working control valve by virtue of the pilot pressure of the one pilot chamber and a second priority position in which a pressure fluid is guided to the second working control valve with a higher priority than the first working control valve by virtue of the pilot pressure of the other pilot chamber, and wherein the second-working-actuator acceleration control valve further includes a first flow restriction portion provided in the flow channel in a case of the first priority position and a second flow restriction portion provided in the flow channel in a case of the second priority position, and an opening rate of the first flow restriction portion is lower than that of the second flow restriction portion.