Summary: Exact solitary wave solutions of the generalised Burgers-Huxley equation \[ \frac{\partial u}{\partial t}-\alpha u^{\delta}\frac{\partial u}{\partial x}-\frac{\partial^ 2u}{\partial x^ 2}=\beta u(1- u^{\delta})(u^{\delta}-\gamma) \] are obtained by using the relevant nonlinear transformations. The results obtained are the generalisation of former work. The method in this paper can also be applied to the Burgers- Fisher equation.