Engineering problems such as design,production and error analyses are quite complicated.The mathematical or classical analytical methods do not give satisfactory results owing to unsatisfacory problem formulation.The Finite Element Techniques are powerful tools for such complicated problems.Finite Element Methods were laborious and monotonous in nature till the advent of computers.Presently,with the availability of computational facilities and the versatality in the problem formulation,FEM has become a very good approach for different engineering problems. Thermal analyses such as finding temperature distribution,temperature gradient distribution on physical models play an important role in optimizing the design of heat exchangers,extended surfaces and such thermal components.The problems are complicated due to inherent inseparable modes of heat tranfer. In the present project an attempt has been made to obtain temperature distribution on fin surfaces by usage of FEM concepts on one dimensional approach.This includes selection of number of elements on the fin surface and formulation of the problem.An application program which performs thermal analysis of fins has been developed in "C" language.The results obtained by using the program are compared with those obtained by conventional method and the program is validated.