The invention relates to a hydraulic mem-inerter device and an application thereof. The hydraulic mem-inerter device comprises a first cylinder barrel, a first piston and a spiral passage, wherein the first cylinder barrel is divided by the first piston into a left cavity and a right cavity; and the spiral passage enables the left cavity and the right cavity of the first cylinder to communicate, and the length of the spiral passage changes along with the change of the relative displacement of the first cylinder barrel and the first piston. The cylinder barrel and the piston serve as a first end point and a second end point which are independent and movable correspondingly. When used, the hydraulic mem-inerter device can be connected to a system to control mechanical force. When generating relative movement between the two end points, fluid can flow from one cavity to the other cavity of the cylinder barrel through the spiral passage, the fluid in the spiral passage has mass and can generate inertia force when flowing, and the ratio of the generated inertia force to the relative acceleration of the two end points changes along with the change of the relative displacement of the two end points. The hydraulic mem-inerter device can serve as a regulation and control valve for an inerter and a damper, can realize continuous regulation and control on the inerter and the damper, and has a wide application range.