A simulation of chaos-synchronization of unidirectionally open-loop master-slave configuration semiconductor lasers is introduced. We consider three scenarios, both lasers are single-mode, multi-mode lasers, with three modes where the interaction is between each mode of transmitter with the corresponding mode of the receiver, and the third scenario is for 5 modes. The simulation was focused on the influences of frequency-detuning of different values of coupling strength for two types of synchronization, anticipating synchronization (AS) and isochronous synchronization (IS). The simulation results demonstrate that scenarios are sensitive to the frequency-detuning between transmitter’s and receiver’s lasers. So, the suitable increasing of coupling strength is a necessary solution to decrease the frequency-detuning effect and saving synchronization with significantly broad high-quality, which means excellent feasibility.