The present work deals with quantum cosmology for non-minimally coupled scalar field in the background of FLRW space–time model. The Wheeler–DeWitt equation is constructed and symmetry analysis is carried out. The Lie point symmetries are related to the conformal algebra of the minisuperspace while solution of the Wheeler–DeWitt equation is obtained using conserved currents of the Noether symmetries. © 2019 Elsevier Inc.