This paper concerns the application of collocation approximation for the solution of fourth-order nonlinear boundary value problems by Chebyshev polynomial approximation. A new basis function for a collocation solution called Chebyshev basis via standard and Perturbed methods was used. Methods discussed in the paper cannot handle nonlinear directly; hence the nonlinear cases treated by the Newton`s linearization scheme of order 4. Numerical examples were given to illustrate the effectiveness of the methods discussed in this paper. Mathematical software `MATLAB` was used to solve the algebraic system of equations obtained in the illustrative examples.