A scheme to measure the temperature distribution based on Brillouin optical correlation reflectometry was proposed according to the dependence of the Brillouin frequency shift on the temperature in the optical fiber. The white Gausssian noise signal was utilized to modulate the laser because of the non-periodicity of the noise,which could resolve the problem of the trade-off between the measurement range and the spatial resolution existed in conventional Brillouin optical correlation reflectometry systems. The experiment of temperature measurement was demonstrated in 253 m standard single-mode optical fiber,with spatial resolution of 54.6 cm and temperature accuracy of ±1.07℃.