We use a improved tanh-coth method to obtain exact traveling wave solutions for a Benjamin equation with higher-order nonlinearity and variable coefficients.The obtained solutions are given in more general form than those derived by other authors using other computational methods.The advantage of the calculus made in this paper is that we can consider the coefficients depending on the time variable, which give us many other models from which the generalized Benjamin equation is a particular case.On the other hand, the solutions obtained here can be used to solve other important models of nonlinear equations with variable coefficients, only making a brief change.We explain this fact with one example.