A cryotherapy system is provided with multiple cryoprobes, each of which has a shaft with a closed distal end adapted for insertion into a body and conduits for flowing a cryogenic fluid through the shaft to reduce a temperature of the distal end. A source is provided for the cryogenic fluid, and flow-control metering valves are provided in fluid communication with the conduits and source of the cryogenic fluid. A compressor is provided in fluid communication with the conduits of the cryoprobes to define a self-contained fluid system. The flow-control metering valves and the compressor are controlled by a computer processor to provide the desired flows of the cryogenic fluid through the conduits of the self-contained fluid system.