The invention relates to a catalyst for ethene polymerization, and comprises the following components: A, a titanium containing solid catalyst component, which is prepared by the following steps: magnesium halide, organic epoxy compounds, organic phosphorous compounds, organic alcohol compounds are reacted for forming a uniform solution; and the solution, aromatic ester compounds, halide compounds of transition metallic titanium or derivatives thereof are mixed, and thereby obtaining the solid catalyst component; B. organic aluminium compound, whose general formula is AlRnX3-n, wherein, R is an alkyl which contains 1-20 hydrogen or carbon atoms, X is a halogen atom, and n is an integer which is less or equal to 3 and more than 0. The catalyst has the advantages of high catalytic activity and good hydrogen response, and the polymer has high bulk density, and the catalyst is suitable for homopolymerization of ethylene or copolymerization of ethylene and other alpha-alkenes.