Resonance is a condition under which system vibrates at natural frequency. Resonance produces maximum vibration amplitude. In industry resonance is consider to be harmful for long life of the equipment as amplitude of vibration is very high which results in failure of the component. At the same time there are some equipment’s and applications which work on resonance principal linear compressor is one such application. Under resonance condition it produces maximum amplitude of stroke with minimum input electric power (Exciting force). A linear compressor consists of an oscillating motor and a piston rigidly coupled to it. Oscillations of the linear motor are directly transferred to the piston. The piston is supported by resonant springs to form a free piston system. The use of linear motor reduces the mechanical linkages like crank, connecting rod necessary for converting rotary to linear motion. Hence this machine is compact, operates with very less friction and noise. It is one of the most efficient available compression technologies. The present work discusses model of a linear compressor in CREO. FEM was used to analyze natural frequency of the linear compressor. Various parameters were studied to achieve resonance at 50 Hz condition to meet the Indian power supply conditions.