An allyl type crosslinking agent for use in production of a super water-absorbent polymer comprising a polymerizable compound having a carbon-carbon double bond or a salt thereof. The crosslinking agent comprises a linear hydroxypolyallyl ether having at least one hydroxyl group and at least two allyl groups obtained by allyletherification of hydroxyl groups in a linear polyol compound selected from the group consisting of erythritol, xylitol and sorbitol. This allyl type crosslinking agent is highly soluble in an aqueous solvent, and can give an excellent super water-absorbent polymer, which cannot be obtained in the prior arts, having high levels of both of water absorptivity under atmospheric pressure and water absorptivity under pressurized conditions.