The generalized gradient approximation （GGA） based on density functional theory （DFT） is used to analyze the evolution of the structure and electronic properties of the fullerene derivatives C60（CF3）n （n=2, 4, 6, 10）. It is found that among the three respective possible stable isomers of C60（CF3）4 and C60（CF3）6, the structure C60（CF3）4 with ppp addition and C60（CF3）6 with pppmp addition are the most stable structures, respectively. By analyzing the structures of C60（CF3）2, C60（CF3）41，C60（CF3）61, and C60（CF3）10, it was found that both the average C—C bond length and the CC60—CCF3 bond length increase with the increase of the CF3 number. It was found from the electronic properties of four compounds that the heat of reaction of the compounds almost linearly increases with the number of the CF3, and its maximum appears at n=6, thus, C60（CF3）6 should be the most easily synthesized derivative. It is known from the Mulliken charge that the interaction between CF3 and the cage and the electron transference from CF3 to the cage increase with the number of the CF3 However, the net spins of the compounds are all zero, indicative of their closedshell electronic structures. Finally, the frontier orbital analysis shows that the electron detaching and attaching both occur at carbon sites of the cage.