The invention relates to a procatalyst for the production of ethylene polymers, which procatalyst comprises an inorganic support, a chlorine compound carried on said support, a magnesium compound carried on said support, a titanium compound carried on said support, whereby the chlorine compound can be different from or the same as the magnesium compound and/or the titanium compound. The activity balance AB of the procatalyst in specified polymerization conditions, is AB>3.2 wherein AB=�(A+A'):2!.multidot.�log (MFR.sub.2 ':MFR.sub.2):(A-A')!, A means polymerization activity expressed an kg PE/g cat .multidot.h, MFR.sub.2 means the melt flow rate in g/min units at a load of 2,16 kg, according to the standard ISO 1133, the absence of the upper index ' means low melt flow rate polymerization and the presence of the upper index ' means high melt flow polymerization. This means that the catalyst activity is relatively independent of the presence of chain transfer agents.