By using the generalized nonlinear Schr?dinger equation, the supercontinuum characteristics of fs level double Gaussian pulses bound-state and double Airy pulses bound-state in highly nonlinear single-mode optical fiber are simulated. Simulation results demonstrate that, because of the self-healing properties of Airy pulse, the output supercontinuum generated by the double Airy pulses bound-state is wider and flatter than that generated by the bound state of double Gaussian pulses bound state. The influence of sub-pulse interval of the double pulses bound-state on supercontinuum generation is studied. It is found that when the sub-pulse interval increases, the spectrum widens first, then narrower, and finally remains unchanged. It is shown that there is an optimal sub-pulse interval to produce the widest supercontinuum, which is of great significance to select the appropriate sub-pulse interval of the double pulses bound-state and optimize the supercontinuum