The six-coordinate copper(II) ions in the title compound, [Cu(C2O4)(CH5N)], experience a Jahn-Teller distortion. The structure is a two-dimensional coordination network, with three crystallographically independent oxalate ions, two of them centrosymmetric, bridging Cu-II ions in three different coordination modes. Each Cu ion is also coordinated by methyl-amine which is involved in both intra- and inter-layer hydrogen bonding.