Magnetic and structural properties of CaMn1-xRexO3 (0.02 <= x <= 0.1) have been investigated. Substitution of Re5+ ion for the Mn4+ site of CaMnO3 generates Mn3+ ions according to the chemical formula CaMn1-2x4+ Mnx3+Rex5+O3, accompanied by an increase of lattice parameters and unit-cell volume with increasing x. With increasing doping level x, the magnetic ground state evolves from an antiferromagnetic (AFM) with a weak ferromagnetic (FM) component, for x = 0.02 - 0.06, to the charge ordered C-type AFM state at x = 0.1. Spontaneous magnetization at T = 10 K increases quickly with increasing x, approaches the maximum value of 3.5 emu/g for x = 0.04, and then decreases rapidly to 0.2 emu/g for x = 0.1. Anomalous negative magnetization (NM) f...