A crank circular slider mechanism includes a crankshaft having at least one crank pin; at least one circular slider with an eccentric hole which fits over the crank pin; at least one reciprocating element with a circular slider-receiving hole, which receives the circular slider in a rotatable manner; and at least one dynamic balance rotary block with an eccentric hole that fits over the crank pin. The dynamic balance rotary block and the adjacent circular slider are fixed together. By means of proper selection of a mounting place and a mass of the dynamic balance rotary block, the mechanism can convert reciprocating inertia of the reciprocating element into rotation inertia so as to obtain a balancing effect. An internal combustion engine and a compressor may be equipped with the crank circular slider mechanism.