In this study three major curcuminoids in turmeric curcumin (1), demethoxycurcumin (2) and bismethoxycurcumin (3) were efficiently extracted by optimizing extraction condition and simultaneously identified using a fast and reliable RP-HPLC-UV-MS and TLC method. The analysis by the $C_{18}$ column was performed and the UV wavelength was fixed at 425 nm. In this result, the total extraction yield of turmeric (Curcuma longa) was increased with extraction time from 1 to 7 h. So, optimum extraction time is 4 h. Also, the highest yield of extraction amount 0.433g 8.66% was obtained by ultrasonic waves with quarter frequency kHz and an extraction time of 7 h. The experiment method was consistent with theoretical Value $r^2$ = 0.987 (1), 0.997 (2) and 0.998 (3). Moreover, LC-MS analysis provided efficiently molecular weight information of three major curcuminoids in turmeric extracts and high purity (~95%) of the curcuminoids were obtained. This work offers would be useful for chemical and biological studies of natural plants and its products.