An analytic solution of the linearized Boltzmann‐Bhatnagar‐Gross‐Krook equation for the slipvelocity problem is developed based on the discrete ordinate method. Analytic expressions of the perturbed distribution function, the velocity profile and the slip coefficient, particularly suitable to numerical calculations, are thus obtained. The numerical value of the slip coefficient is calculated for various orders of approximation. The result obtained for 6 discrete points is in excellent agreement with the numerically exact value.