We have obtained the Raman spectra of the calix[n]arene C60 complex of anti-conformation. Very different interactions between C60 and calix[n]arene (n = 4, 8) have been found from the vibratory spectroscopy, which are more complicated than those reported in previous works. It is interesting to find three low frequency modes, i.e. the spheroidal, torsional and E2 clearly shown at 39, 130 and 208 cm-1, respectively. It is primarily interpreted as a relaxation effect of calix[8]arene framework for C60 where the intramolecular bridge between C60 and calix[8]arene are partly packed and two axes of C60 ([100] and [101]) are changed from the original configuration. The change of the vibratory environment of the carbon atom of C60 created some new modes. The Hg5 mode (at 1101 cm-1)and Hg2 (at 431 cm-1) have been split and some modes (Ag2 and other six Hg modes) were hidden.