There is provided a rubber composition for a bead apex which can enhance extrusion processability by optimizing a rate of vulcanization during a vulcanization process, and can improve rigidity, steering stability and a low fuel consumption property, a tire having a bead apex prepared by using the rubber composition for a bead apex and being capable of enhancing steering stability and reducing rolling resistance and a tire for a sports utility vehicle (SUV) having further enhanced durability. The rubber composition for a bead apex comprises a diene rubber, a phenol resin and/or a modified phenol resin, sulfur, hexamethylenetetramine, a vulcanization accelerator, and at least one kind of vulcanization acceleration auxiliary selected from the group consisting of a citraconimide compound, a condensate of alkyl phenol and sulfur chloride, an organic thiosulfate compound and a compound represented by the general formula: R1—S—S-A-S—S—R2.