A concentrating Photovoltaic (CPV) systems allows to a significant reduction in the area of solar cell coverage, the main cost driver in a flat plate system. Among different concentrating systems the linear Fresnel reflector (LFR) systems are effective due to the simplicity and easy fabrication. A mathematical model and the simulation for a new concentrating Photovoltaic thermal (CPV/T) collector with a linear configuration absorber is developed. The concentrator system consists of flat glass mirrors, placed under the different angles, and focusing the sun light on to the solar cells mounted along active cooling system. The main properties of CPV/T collector are investigated. For this purpose a new computer program is developed. The data results from computer new program are compared with the result data from formerly developed at State Engineering University of Armenia (SEUA) known as CPV-CAD program for concentrating collectors. With the use new computer program, a CPV/T system with 1 kW electric power is analyzed. The effect of focus distance on concentration ratio (CR), collector width, and gain heat to the coolant fluid are analyzed.