A spectrum-sliced (SS) Wavelength division multiplexing (WDM) based Free-space optical (FSO) communication system at a data rate of 2.5 Gbps per optical carrier is proposed in this research article. Utilizing the broadening of the spectrum by means of supercontinuum generation in a highly non linear Fiber (HNLF), an SS-WDM based FSO system is designed. The narrow spectrum of laser light source is broadened by means of self phase modulation (SPM). The proposed work reveals that the DQPSK based SS-WDM FSO system has higher performance compared to intensity modulation formats as well as other differential phase modulation formats. Considering various values of FSO link distances, antenna diameters of transmitter and receiver, beam divergence and thus, determining the values of performance metrics such as Q-factor and bit error rate (BER), differential quadrature phase shift keying (DQPSK) based SS-WDM FSO system is simulated. The same process is repeated for dual channel FSO system for DPSK and DQPSK.