We propose a novel detection scheme for an optical twin singlesideband (twin-SSB) signal. The detection can be performed by one optical homodyne receiver with an electric butterfly operation which demultiplexes the lower side-band (LSB) and upper side-band (USB) signals without using optical filters. The dispersion-tolerant characteristics of the scheme were investigated by numerical simulation of transmission through 50 km and 100 km standard single-mode fiber (SSMF), in comparison with dual sideband (DSB) modulation. The optical modulation of the twin-SSB signal was performed using a dual polarization quadrature phase shift keying (DP-QPSK) modulator.