The Mo₂FeB₂ type magnesium intermetallics RE₂Cu₂Mg (RE = Y, La, Pr, Nd) were synthesized from the elements by reactions in sealed tantalum tubes in a high-frequency furnace. Temperature-dependent magnetic susceptibility measurements of Y₂Cu₂Mg and La₂Cu₂Mg indicate Pauli paramagnetism. Pr₂Cu₂Mg and Nd₂Cu₂Mg show Curie-Weiss behaviour with experimental magnetic moments of 3.67(2) μB/Pr and 3.47(2) μB/Nd, respectively. Both compounds are ordered ferromagnetically at Curie temperatures of 12.0(5) (Pr₂Cu₂Mg) and 43.0(5) K (Nd₂Cu₂Mg). Pr₂Cu₂Mg shows a very complex magnetization behavior with an additional magnetic transition around 2.5 T. The neodymium compound shows a pronounced square loop behavior in the magne-tization at 4.5 K with a high remanent magnetization of 1.55(1) μB/Nd atom and a coercive field of 0.31(1) T.