An adhesive resin for a liquid crystal polymer, comprising a modified polyolefin (D) prepared by graft polymerizing at least one epoxy group-containing ethylenically unsaturated monomer (B) to a polyolefin (A) obtained by polymerizing one or more olefins selected from ethylene and .alpha.-olefin having from 3 to 20 carbon atoms, in an amount in the range of from 0.01 to 50% by weight, with the proviso that the modified polyolefin is 100% by weight. The modified polyolefin (D) can be combined with a thermoplastic resin (E) to form an adhesive resin composition.