A　4-channel　Fourier　transform　polarization　spectrometer　is　conceptually　proposed　and　experimentally　demonstrated　as　an　extension　of　the　conventional　Fourier　transform　spectrometer　for　scalar　spectra　collection.　The　design　consists　of　a　typical　Michelson　interferometer　and　four　sets　of　polarizer　arrays　inserted　into　the　incident　light　path,　two　interference　arms　and　an　output　light　path,　respectively.　This　novel　device　facilitates　the　measurement　of　all　elements　in　the　coherence　tensor　of　a　radiative　source　simultaneously.　As　an　extension　of　the　Wiener-Khintchine　theorem,　the　four　sets　of　spectra　with　polarization　information　can　be　recovered　by　applying　Fourier　transforms　to　the　recorded　sets　of　interferograms.　The　reconstructed　polarization　spectra　have　been　displayed　on　a　Poincare　sphere　to　demonstrate　how　a　light　source　emits　radiation　at　each　wavelength　with　different　polarization　information.　The　proposed　Fourier　transform　polarization　spectrometer　provides　a　new　opportunity　to　identify　unknown　birefringent　materials　and　determine　the　quality　and　content　of　a　birefringent　sample　for　material　analysis.