A　new　elastic　element　of　fiber　Bragg　grating(FBG)　accelerometer　which　is　four　peripheral　clamped　trapezoidal　beams　is　developed.　The　simulation　of　this　elastic　element　with　ANSYS　is　carried　out.　From　the　results,　it　shows　that　as　an　elastic　element,　four　beams　have　the　advantages　of　lower　cross-axis　sensitivity　which　is　smaller　than　52　dB　and　nearly　uniform　strain　along　the　grating　area.　In　addition,　its　work　frequency　is　higher　than　the　single　beam　constituting　four　beams.　This　kind　of　elastic　element　not　only　can　be　used　with　fiber　Bragg　grating　accelerometer,　but　also　other　types　of　sensors.