As house heating tends to be more efficient, Thermoelectric Heat Pump (THP) is an interesting alternative to classic thermodynamic system (with mechanical vapor compression system). In particular, THP becomes favorable as soon as the sources temperature difference is small, which is the case in energy efficient buildings with an exhaust/supply mechanical ventilation system (ESMVS). The objective of the study is to develop a reversible THP prototype capable of supplying the heating / cooling power needed in an energy efficient building. This work is based on different analytical and numerical models validated experimentally. This study aims to develop an efficient thermoelectric heat pump system and to improve its coefficient of performance (COP) by increasing heat transfer on the surface of the thermoelectric elements with impinging jet, and optimizing the THP by dimensioning the system based on operating conditions. With the results obtained with the THP prototype, the seasonal COP is determined. After coupling the THP system to the building, we show an improvement in system performance.