We investigate few-photons scattering properties in two one-dimensional waveguides chirally coupled to a nonlinear cavity. The quantum states of scattered few-photons are solved analytically via a real-space approach, and the solution indicates the few-photons reflection and transmission properties. When inputing two photons of equal energy to resonate with the cavity, the propagation characteristics of the two photons will be interesting, which is different from the previous anti-bunching effects with a quantum emitter. More importantly, when the total energy of the two incident photons equals the energy of a nonlinear cavity accommodating two photons, the bound state will become larger influence resulting in the disappearance of the antibunching effect. However, the bound state have no effect the probability of routing to another waveguide.