Mössbauer technique is employed to the study of ordering of equiatomic FePd and FePt alloys. It is shown that the FePd and FePt alloys have a complex spectrum caused by ordered twins and recrystallization regions. Within the dispersed twins the direction of the magnetization vector does not coincide, in general, with the easy magnetization axis, as can be found from calculations of the exchange energy. The average angle of magnetization vector deviating from the easy magnetization axis is found experimentally and its value is in good agreement with the calculated one.