A new method to realize simultaneous measurement of strain and temperature by using a long-period fiber grating with rotary refractive index modulation (R-LPFG) which fabricated in twisted common communication optical fiber by using high-frequency CO2 laser pulses, is reported. The fundamental core mode of R-LPFG simultaneously couples to the odd and the even modes of the asymmetric cladding modes (L1k) due to especial refractive index distribution, which leads to two separated resonant peaks of R-LPFG. The strain and temperature characteristics of R-LPFG are studied experimentally. The results show that the two split resonant peaks continue separating when the strain was applied to it, but shift to the same direction and almost have the same temperature sensitivity when the environmental temperature changes. The temperature sensitivities are about ～0.07 nm/℃.