Transpired solar air collector can be used in combination with heat Pump to meet space heating and hot water demand in domestic dwellings. Moreover, the solar pre-heated fresh air can be used as a heat source for the heat pump evaporator, improving its coefficient of performance. Many research articles have been published on this subject, however the optimal analyses about techno-economic feasibility of a heat pump with the transpired solar collector are still lacking. Therefore, an optimisation tool is developed, based on non-linear programming using coherent operation strategy and variation in collector flow rate for a solar heat pump system. The effect of optimisation along with techno-economic feasibility for a demo case in Sweden is then preliminary studied based on the defined boundary conditions. The results are used to select the most cost-effective collector area installation, along with an efficient operation strategy for a given system configuration. Results indicate that the hourly flow rate optimisation can determine 35 % increased savings, compared to a non-optimised fixed flow rate case. Moreover, the simulated system has a net present value of € 5000 when calculated at 2 % discount rate for 30 years. The tool has potential use for pre-feasibility check at an earlier stage of the dedicated design and operation, without the need for extensive system simulations.