Due　to　the　leakage　of　frequency　spectrum　caused　by　applying　fast　Fourier　transform　to　the　Moiré　fringe　image,　it　becomes　challenging　to　achieve　accurate　360°　full-cycle　measurements.　A　measurement　method　of　full-cycle　torsion　angle　based　on　Moiré　fringe　was　proposed　and　a　set　of　torsion　angle　measurement　system　was　built.　The　Moiré　fringe　images　with　different　widths　were　acquired　by　a　CMOS　camera　at　1°　intervals,　and　then　the　grating　frequency　spectrum　information　could　be　obtained　by　adopting　fast　Fourier　transform　(FFT).　In　addition,　the　frequency　spectrum　was　corrected　by　the　Hanning-window　energy　centrobaric　method　(HnWECM),　and　the　real　and　effective　information　of　torsion　angle　represented　by　Moiré　fringe　image　could　be　obtained　to　achieve　precision　measurement　of　full-cycle　torsion　angle.　Experimental　results　show　that　the　system　can　quickly　and　accurately　realize　the　full-cycle　measurement　of　the　torsion　angle　with　the　advantage　of　wide　measurement　range,　and　its　maximum　error　rate　is　0.243　3%.　©　2024　Editorial　office　of　Journal　of　Applied　Optics.　All　rights　reserved.