The invention discloses a floating type two-dimensional double-piston pump which comprises a pump. An oil suction opening and an oil drain opening are formed in the pump, a pump unit is arranged in the pump and comprises two cylinders, the two cylinders are fixed into the pump and are arranged in the left-right directions, and two pistons are arranged in the two cylinders and are in linkage with each other; the central axes of the cylinders coincide with the central axes of the pistons, movement components are arranged at two ends of each piston and are used for driving the piston to axially move to change the volume of a working chamber, and piston movement driving directions of the corresponding movement components at the two ends of each piston are opposite to each other; each cylinder,the corresponding piston and the corresponding movement components on two sides of the piston form a portion of the floating type two-dimensional double-piston pump, an upper portion of the floatingtype two-dimensional double-piston pump is close to a front end cover, and a lower portion of the floating type two-dimensional double-piston pump is close to a rear end cover. The floating type two-dimensional double-piston pump has the advantages that oil distribution disc structures of the traditional peripheral plunger pumps are replaced with rotary and slide double-degree-of-freedom structures of the pistons, and accordingly the floating type two-dimensional double-piston pump has continuous oil suction and drain functions; the floating type two-dimensional double-piston pump is in doublemodes, reciprocating movement is carried out by 4 times whenever each piston rotates by a circle, and oil can be sucked and drained by 16 times and are increased by 4 times as compared with single-piston pumps.