A method of producing a solid titanium catalyst component for ethylene polymerization, which method comprises bringing a liquid magnesium compound comprising a magnesium compound, an electron donor (a) having 1 to 5 carbon atoms and an electron donor (b) having 6 to 30 carbon atoms into contact with a liquid titanium compound under the presence of an electron donor, wherein component comprises titanium, magnesium and a halogen, wherein the electron donor is: (i) an organic acid ester which is a benzoic acid ester; (ii) a compound represented by the following Formula; (iii) a diether compound represented by the following Formula; or (iv) a mixture of a benzoic acid ester and a diether compound represented by the following Formula, wherein in Formula, C a and C b represent a carbon atom; n represents an integer of 5 to 10; R 2 and R 3 each are independently COOR 1 or R', and at least one of R 2 and R 3 is COOR 1; in a cyclic framework, any carbon-carbon bond other than a C a -C a bond and a C a -C b bond when R 3 is a hydrogen atom may be substituted with a double bond; a plurality of R 1 is a hydrocarbon group having 1 to 20 carbon atoms; a plurality of R' each is independently an atom or a group selected from a hydrogen atom, a hydrocarbon group having 1 to 20 carbon atoms, a halogen atom, a nitrogen-containing group, an oxygen-containing group, a phosphorus-containing group, a halogen-containing group and a silicon-containing group; A is a structure represented by the following formula or a hetero atom excluding an oxygen atom: wherein a plurality of R' is the same as R' described above, wherein in Formula, m represents an integer of 1 to 10; R 11, R 12 and R 31 to R 36 each are independently a hydrogen atom or a substituent having at least one element selected from carbon, hydrogen, oxygen, fluorine, chlorine, bromine, iodine, nitrogen, sulfur, phosphorus, boron and silicon; any ones of R 11, R 12 and R 31 to R 36 may be linked together to form a ring other than a benzene ring, and a main chain may contain an atom other than carbon; wherein a molar ratio between the electron donor (b) and a titanium atom each contained in the solid titanium catalyst component is 0.2 to 100. (i) an organic acid ester which is a benzoic acid ester; (ii) a compound represented by the following Formula; (iii) a diether compound represented by the following Formula; or (iv) a mixture of a benzoic acid ester and a diether compound represented by the following Formula, wherein in Formula, C a and C b represent a carbon atom; n represents an integer of 5 to 10; R 2 and R 3 each are independently COOR 1 or R', and at least one of R 2 and R 3 is COOR 1; in a cyclic framework, any carbon-carbon bond other than a C a -C a bond and a C a -C b bond when R 3 is a hydrogen atom may be substituted with a double bond; a plurality of R 1 is a hydrocarbon group having 1 to 20 carbon atoms; a plurality of R' each is independently an atom or a group selected from a hydrogen atom, a hydrocarbon group having 1 to 20 carbon atoms, a halogen atom, a nitrogen-containing group, an oxygen-containing group, a phosphorus-containing group, a halogen-containing group and a silicon-containing group; A is a structure represented by the following formula or a hetero atom excluding an oxygen atom: wherein a plurality of R' is the same as R' described above, wherein in Formula, m represents an integer of 1 to 10; R 11, R 12 and R 31 to R 36 each are independently a hydrogen atom or a substituent having at least one element selected from carbon, hydrogen, oxygen, fluorine, chlorine, bromine, iodine, nitrogen, sulfur, phosphorus, boron and silicon; any ones of R 11, R 12 and R 31 to R 36 may be linked together to form a ring other than a benzene ring, and a main chain may contain an atom other than carbon; wherein a molar ratio between the electron donor (b) and a titanium atom each contained in the solid titanium catalyst component is 0.2 to 100.