By investigating, measuring and dating the offset streams in several typical segments in Shikoku, Japan, it is achieved that average offset rate of the Median Tectonic Line is 6.1 mm/yr.since the late Pleistocene.The facts that there is high slip rate, but no disastrous earthquake on the Median Tectonic Line in the recent 1 000 years show that it may be mainly in the period of creep movement. The major earthquake rupture in the future may happen in the joint area of the north side of Median Tectonic Line with the NNE-trending, newly-generated fault.