A systematic study is made of the magnetic properties on perovskite‐like compounds Ca(Mn3−xCux)Mn4O12 in the temperature range (0.6 to 300) K. The occurrence of a succession of transitions with increasing temperature at × = 1: nonergodic ferrimagnetic—ferrimagnetic—par‐amagnetic is concluded. A magnetic phase transition perhaps due to a canted magnetic structure formation at 97 K is observed. A reentrant spin glass state is believed to realize with x = 0.8 at T = 0.6 K.