In \S1 the condition for the conformally quasi-recurrent manifold (CQR-manifold for short) is found to be conformally recurrent. In \S2 the conformal change of CQR-manifold is disscused and some results of [6] completed. In \S3 some examples of CQR-manifolds are given. In \S4 the umbilical hypersurface of the conformally quasi-recurrent space is studied.