To provide a positive electrode material for a lithium ion battery from which a lithium ion battery capable of enhancing output characteristics at low temperatures can be obtained, a positive electrode for a lithium ion battery in which the positive electrode material for a lithium ion battery is used, and a lithium ion battery including the positive electrode for a lithium ion battery. A positive electrode material for a lithium ion battery consisting of primary particles coated with a carbonaceous film or an agglomerate of the primary particles, in which a powder resistance Y is 500 Ω·cm or more and 50000 Ω·cm or less, a mass X of the carbonaceous film per unit specific surface area is 0.7 mg/m2 or more and 1.1 mg/m2 or less, and Formula (1) below is satisfied.

Y≥4.91×106×e−9.021X  (1)