Planar tetracoordinate carbon (ptC) with intriguing planar bond structure has triggered great attentions. In this work, B/Be-terminated decoration form armchair hybridized boron nitride and graphene nanoribbons with ptC structure (ptC-aBCNNRs) are investigated theoretically for third-order nonlinear optical (NLO) response by employing time-dependent density functional theory combined with sum-overstates method. Our calculations reveal Be and B decorated on ptC-aBCNNRs would result in opposite variation of energy gaps, and strongly enhance the NLO response in different third-order NLO processes. The strong third-order NLO response predicted for ptC-aBCNNRs is originated from the charge redistribution induced by ptC structure and hexagonal-BN ribbon insertion. (C) 2017 Elsevier B.V. All rights reserved.