The paper analyzed two different technical solutions for heating, cooling, and domestic hot water preparation in a nearly Zero Energy Building (nZEB) as a single-family house, using renewable energy sources. The legal requirements that an nZEB house must meet were defined: annual heating energy, primary energy, and share of renewable energy sources. In the first technical solution, biomass pellets were used for heating and domestic hot water preparation, while air-to-air heat pumps were used for cooling. After calculating the heating and cooling loads, the technical system was dimensioned for underfloor and radiator heating, local cooling with wall-mounted cooling units, and domestic hot water preparation. In the second technical solution, air-to-water heat pumps were used for space heating and cooling, and a heat pump was used for domestic hot water preparation. The technical system was dimensioned with underfloor and radiator heating for heating, and fan coil units for heating and cooling. Both technical systems were dimensioned to meet the indoor comfort conditions throughout the year. Additionally, a heat recovery ventilation system has been considered for the residential areas on the ground floor and upper floor of single-family house. The centralized ventilation unit has been sized to supply air to the living spaces and extract air from bathrooms and storage rooms. A photovoltaic system was also considered for the building in four variations: for the technical system with pellet heating and heat pumps; both with natural ventilation and with heat recovery ventilation. The power of the photovoltaic system was dimensioned based on the annual electricity consumption. Finally, the two different technical solutions were compared, including the cost-effectiveness analysis of installing a heat recovery ventilation system and a photovoltaic system, based on the annual energy costs for the house. It has been demonstrated that by implementing the aforementioned technical solutions, it is possible to meet the requirements for achieving nZEB standards for a residential house. By combining heat pump systems with a photovoltaic system, it is possible to cover almost all the annual electricity costs for the house.