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In this paper, an approximate but very accurate solution of a fin with temperature dependent internal heat generation and temperature dependent thermal conductivity is formally obtained using a powerful analytical method called the homotopy analysis method (HAM). A comparative study is also made between the results obtained by means of the HAM and a numerical procedure based on the finite difference method with Richardson extrapolation. It is shown that the freedom of choice of the auxiliary parameter h gives way to adjust and control the convergence of the solution series, which can be considered as a fundamental difference between the homotopy analysis method and other existing methods. Results confirm that the temperature distribution in the fin with temperature dependent internal heat generation and temperature dependent thermal conductivity can be accurately predicted with the HAM solution.