We explore the nontrivial effects of coupling strength and timedelayed coupling on bursting synchronization of modular neuronal network with hybrid chemical and electrical synapses by nonlinear dynamics and numerical simulation. The results show that the intra and intercoupling between different neurons can induce bursting neurons to achieve bursting synchronization in modular neuronal network. However, time delays in the coupling have negative influences on the couplinginduced bursting synchronization. Furthermore, these two results are verified to be robust against the number of subnetworks and the number of neurons within each subnetwork. Note that the degraded impact of timedelayed coupling on bursting synchronization may have potential theoretical significance for curing some neuronal diseases (such as Parkinson＇s Disease, epilepsy) caused by bursting synchronization.