Abstract: A method of operating a heat pump having at least one circuit for circulation of a refrigerant comprising a compressor, a once-through path, complete counterflow type condenser as a high-temperature heat output means, an expansion valve and a low-temperature heat output means (evaporator or a segregated low-stage circuit for circulation of a lower-boiling-point refrigerant), which comprises choosing a supercool degree, which is equal to the difference between a saturation temperature and an outlet temperature of the refrigerant, to satisfy the conditions that a temperature effectiveness of refrigerant liquid as defined by the formula: ##EQU1## is at least 40% and the temperature difference of the denominator is at least 35.degree. C. As a result, boiling water of ca. 100.degree. C. or other high-temperature fluids can be discharged with a large temperature difference.