By using the Pekeris approximation type, the Schrödinger equation is investigated for a Pöschl-Teller potential. The supersymmetric method is used in the calculations, and the approximate energy eigenvalue equation and the corresponding eigenfunction are calculated for angular momentum l≠0 in a closed form. The numerical results are obtained for different values of α, n, and l. Various plots were made to see the variation of energy with the constant coefficients.