In the present work,we analyze the generalization of the topic by introducing next-nearest-neighbour interactions to investigate the effect of the long-range interaction on the existence and property of quantum breathers in nonlinear Klein-Gordon lattices.By calculating the energy spectrum of the system containing two quanta,we prove numerically the existence of quantum breathers (two-quanta bound states).In addition,we find that the introduction of the next-nearest-neighbor interaction may lead to interesting band structures.