The invention discloses an independent suspension system which comprises two suspension oil cylinders arranged between the edges of wheels on two sides and a frame respectively, a steering mechanism used for driving the wheels on the two sides to make a turn under the drive action of a power-assisted steering oil cylinder, and two swing rods corresponding to the wheels on the two sides, wherein one end part of each swing rod is hinged to the edge of the wheel on the corresponding side through a spherical hinge, and the other end part of the swing rod is hinged to fixing members fixed below a main speed reducer in a front-rear direction through two spherical hinges respectively. Through the structural improvement, tires mounted on the wheel edges can be positioned, the tire motion in the moving process of a crane is guaranteed to meet the design requirement, and the possible destructive influence of the suspension oil cylinders can be completely avoided, so that the wheels on the left and right sides can reliably and independently move; the adhesion conditions of a road surface are fully utilized, so that the control stability of the complete crane can be improved. Based on the independent suspension system, the invention further provides the crane with the independent suspension system.