A high precision rigid gas-permeable contact lens edge curve polishing lathe includes a base provided at the bottom of a machine body. A first crank and a second crank are respectively provided on two sides of the base. A detent mechanism is provided on both the first crank and the second crank. The detent mechanism includes an ejector pin matching the rotational direction of the first crank and the second crank and a numerical display unit revealing the position of the ejector pin. The contact position of a polishing sponge on a spindle of the polishing lathe and a lens can be precisely positioned through numerical reading, realizing quantized control of the polishing of a lens edge, and enabling improvement and modification to the design of the lens edge to become simpler.