The invention discloses a crane hoisting control system comprising a bidirectional variable pump, a bidirectional variable motor, an electro-hydraulic proportion control valve, an input device and a controller, also comprising two oil inlets of the bidirectional variable motor and shuttle valves respectively communicated with two oil outlets; a pressure sensor arranged on an outlet oil circuit of the shuttle valves for collecting pressure signals of pressure oil output by the bidirectional variable pump and outputting the signals to the controller; a pre-value setting unit of the controller for pre-setting and storing a relation table of the corresponding relation between the motor power and a rotation speed; a calculation unit for calculating to obtain the output power of the bidirectional variable pump based on the received pressure signals and the rotation speed and displacement of the bidirectional variable pump; a comparison unit for comparing the output power of the calculated bidirectional variable pump with the motor power corresponding to the rotation speed in the pre-value setting unit and outputting control signals to control the bidirectional variable pump. On that basis, the invention also provides a crane with the hoisting control system.