Abstract: A process for producing polyethylene comprising polymerizing ethylene in a medium of a hydrocarbon solvent at a temperature within the range of from 30.degree. to 110.degree. C. under a pressure of from 1 to 60 atm.g. in the presence of a complex organometallic catalyst; said catalyst consisting of an alkylaluminiumhalide of the formula AlR.sub.n (X).sub.3-n (I), wherein R is an alkyl with a number of carbon atoms from 2 to 18; X is Cl, Br, I; n=1 or 2; an oxyvanadiumalkoxide of the formula OV(OR').sub.3 (II), wherein R' is an alkyl with a number of carbon atoms from 2 to 20; and a complex of acrylonitrile with diethylaluminiumchloride of the formula CH.sub.2 =CHCN.Al(C.sub.2 H.sub.5).sub.2 Cl (III); molar ratio between said catalytic components I:II:III being equal to 5-20:1:1-5, respectively. The process makes it possible to obtain polyethylene with a wide (5 to 10) molecular-mass distribution and with an enhanced adhesion to a metal (more than 3000 g/cm).