To provide a
polyolefin polymer having a polar group represented by Formula (i) produced by modifying, with a high modification ratio, a
double bond in a
polymer having the
double bond at one terminal, both terminals, or at the inside of a
polymer chain thereof that is obtained by a known method; a method for producing the
polyolefin polymer; and a water dispersion material and a mold
release agent composition each containing the
polyolefin polymer,wherein in Formula (i), PO represents a polyolefin polymer obtained by polymerizing a
monomer including
ethylene or including an olefin having 3 to 20 carbon atoms, and a group shown in the brackets is the polar group of the polyolefin polymer; A and B each independently represent R1, a cyano group, C(O)OR1, or C(O)NR1R2, and A and B may be combined to form a cyclic structure; M represents a
metal cation or an
onium cation; j is an integer of 0 to 4 representing the number of the
metal cation or the
onium cation; i is an integer of 0 to 4 representing the number of valency of the
metal cation or the
onium cation; D and E each independently represent an
oxygen atom, a
nitrogen atom, a
sulfur atom, R3, OR3, SR3, or NR3R4, and D and E may be combined to form a cyclic structure; d and e each independently are an integer of 0 to 4 representing respectively the number of valency of the
substituent D and the number of valency of the
substituent E; R1, R2, R3, and R4 each independently represent
hydrogen, an optionally substituted
alkyl, alkenyl, alkynyl, aralkyl or
aryl group having 20 or less carbon atoms, or a group having a heterocyclic ring; and n represents the average number of functional groups, and ranges from 0.80 to 10.0.