We study the non-thermal photon emission from shell-type supeova remnants (SNRs) in the frame of a two-zone model. In this model, the sites of acceleration, escape and subsequent radiation of particles (both electron and proton) are divided into acceleration and escape zones, respectively. The particle distributions consist of two components, one is produced inside the acceleration zone, the other in the escape zone. We apply this model to two young and one old shell-type SNRs and show that the observed multi-waveband photon spectra for the three SNRs can be explained well in this model and high-energy γ-rays from these SNRs may have hadronic origins.