Abstract: A new way of thinking for the arrangement of the two inertial systems S and S＇ in Lorentz transformation is introduced, which causes x axis and x＂ axis to be in opposite direction, then S and S＇ systems are completely symmetrical, and the deduction process becomes easier. According to the arrangement of S and S＇ systems, beginning with the two basic hypotheses of special relativity, Lorentz transformation is deduced strictly.

Key words: special relativity, Lorentz transformation, deduction, arrangement of coordinates systems