The radiation pressure of the Lyman α line-radiation in a planetary nebula is discussed. Zanstra's 1) idea of redistribution in frequency in the line-contour is taken into account in detail. The equation of transfer of the Lyman x radiation with redistribution mechanism is solved in contrast with Zanstra's rough treatment in which a definite form of emission and complete redistribution are assumed. The result obtained is found to be nearly the same as in Zanstra's theory. The radiation pressure due to the Lyman α radiation is so much reduced that we should be able to get rid of the blowing-up difficulty of planetary nebula in Ambarzumian's2) theory. Thus it is confirmed that the complete redistribution is a good approximation to the solution of this problem.