A control system for a construction machine, comprising: an engine; a hydraulic pump (6A, 6B) driven by the engine; a front implement drive unit driven by a hydraulic actuator; a swing structure drive unit driven by a swing motor (10, 16); a front implement operation device for operating the front implement drive unit; and a swing operation device for operating the swing structure drive unit, characterized in that the control system comprises: a front implement speed detector that detects a speed of the front implement drive unit; a swing structure speed detector that detects an angular speed of the swing structure drive unit; a target path computation section that receives an operation amount of the front implement operation device, an operation amount of the swing operation device, the speed of the front implement drive unit detected by the front implement speed detector, and the angular speed of the swing structure drive unit detected by the swing structure speed detector, and that computes a target path of a claw tip position of the front implement drive unit; and an actuator power computation section that regulates power supplied to the front implement drive unit or the swing structure drive unit in such a manner that a claw tip of the front implement drive unit follows up the target path computed by the target path computation section when the front implement operation device and the swing operation device are operated simultaneously. an engine; a hydraulic pump (6A, 6B) driven by the engine; a front implement drive unit driven by a hydraulic actuator; a swing structure drive unit driven by a swing motor (10, 16); a front implement operation device for operating the front implement drive unit; and a swing operation device for operating the swing structure drive unit, characterized in that the control system comprises: a front implement speed detector that detects a speed of the front implement drive unit; a swing structure speed detector that detects an angular speed of the swing structure drive unit; a target path computation section that receives an operation amount of the front implement operation device, an operation amount of the swing operation device, the speed of the front implement drive unit detected by the front implement speed detector, and the angular speed of the swing structure drive unit detected by the swing structure speed detector, and that computes a target path of a claw tip position of the front implement drive unit; and an actuator power computation section that regulates power supplied to the front implement drive unit or the swing structure drive unit in such a manner that a claw tip of the front implement drive unit follows up the target path computed by the target path computation section when the front implement operation device and the swing operation device are operated simultaneously. a front implement speed detector that detects a speed of the front implement drive unit; a swing structure speed detector that detects an angular speed of the swing structure drive unit; a target path computation section that receives an operation amount of the front implement operation device, an operation amount of the swing operation device, the speed of the front implement drive unit detected by the front implement speed detector, and the angular speed of the swing structure drive unit detected by the swing structure speed detector, and that computes a target path of a claw tip position of the front implement drive unit; and an actuator power computation section that regulates power supplied to the front implement drive unit or the swing structure drive unit in such a manner that a claw tip of the front implement drive unit follows up the target path computed by the target path computation section when the front implement operation device and the swing operation device are operated simultaneously.