A hydraulic work machine, comprising: a work device including a boom and an arm; a boom cylinder that drives the boom; an arm cylinder that drives the arm; a hydraulic operating fluid tank; a first hydraulic pump; a first boom directional control valve that controls a flow rate and a direction of hydraulic fluid to be supplied from the first hydraulic pump to the boom cylinder; a first arm directional control valve (23; 23A) that controls a flow rate and a direction of hydraulic fluid to be supplied from the first hydraulic pump to the arm cylinder; a boom operation device that gives instructions on an operation amount of the first boom directional control valve; an arm operation device that gives instructions on an operation amount of the first arm directional control valve (23; 23A); a boom load pressure sensor (5b; 2c) that detects a load pressure of the boom cylinder; an arm load pressure sensor (6b; 2d) that detects a load pressure of the arm cylinder; and a controller configured to correct and increase an operation amount of the first arm directional control valve (23; 23A), the operation amount being instructed by the arm operation device, such that a meter-in opening of the arm cylinder increases in response to the increase of a deviation of the load pressure of the arm cylinder with respect to the load pressure of the boom cylinder, characterized in that the hydraulic work machine further comprises an arm velocity-control valve device (22; 25) capable of adjusting a meter-out opening of the arm cylinder independently of the first arm directional control valve (23; 23A), and the controller is configured to control, when correcting and increasing the operation amount instructed by the arm operation device, the arm velocity-control valve device (22; 25) to decrease the meter-out opening of the arm cylinder in response to the increase of the load pressure of the arm cylinder. a work device including a boom and an arm; a boom cylinder that drives the boom; an arm cylinder that drives the arm; a hydraulic operating fluid tank; a first hydraulic pump; a first boom directional control valve that controls a flow rate and a direction of hydraulic fluid to be supplied from the first hydraulic pump to the boom cylinder; a first arm directional control valve (23; 23A) that controls a flow rate and a direction of hydraulic fluid to be supplied from the first hydraulic pump to the arm cylinder; a boom operation device that gives instructions on an operation amount of the first boom directional control valve; an arm operation device that gives instructions on an operation amount of the first arm directional control valve (23; 23A); a boom load pressure sensor (5b; 2c) that detects a load pressure of the boom cylinder; an arm load pressure sensor (6b; 2d) that detects a load pressure of the arm cylinder; and a controller configured to correct and increase an operation amount of the first arm directional control valve (23; 23A), the operation amount being instructed by the arm operation device, such that a meter-in opening of the arm cylinder increases in response to the increase of a deviation of the load pressure of the arm cylinder with respect to the load pressure of the boom cylinder, characterized in that the hydraulic work machine further comprises an arm velocity-control valve device (22; 25) capable of adjusting a meter-out opening of the arm cylinder independently of the first arm directional control valve (23; 23A), and the controller is configured to control, when correcting and increasing the operation amount instructed by the arm operation device, the arm velocity-control valve device (22; 25) to decrease the meter-out opening of the arm cylinder in response to the increase of the load pressure of the arm cylinder. characterized in that the hydraulic work machine further comprises an arm velocity-control valve device (22; 25) capable of adjusting a meter-out opening of the arm cylinder independently of the first arm directional control valve (23; 23A), and the controller is configured to control, when correcting and increasing the operation amount instructed by the arm operation device, the arm velocity-control valve device (22; 25) to decrease the meter-out opening of the arm cylinder in response to the increase of the load pressure of the arm cylinder.