‎In this paper‎, ‎B-spline collocation method is developed for‎ the solution of one-dimensional hyperbolic telegraph equation‎. ‎The‎ convergence of the method is proved‎. ‎Also the method is applied on‎ some test examples and the numerical results have been compared‎ with the analytical solutions‎. ‎The $L_infty$,$L_2$ and Root-Mean-Square‎ errors (RMS) in the solutions show the efficiency of the method‎ ‎computationally‎.