We compile the radio light curve of BL Lac object OJ 287 at frequencies of 4.8, 8.0 and 14.5 GHz from 1978 to 2010. The continuous wavelet transform and the cross wavelet transform method are used to study the periodic oscillations of different significance, correlations, and time delays of OJ 287 in radio bands. The results of the continuous wavelet transform indicate that there are significant periods at scale of 6, 8-16 and 16-32 months (period of light variation, 0.54±0.04, 1.12±0.07, 2.49±0.08 year, and the significant wavelet spectrum of the radio flux is observed mainly from 1980 to 1994 and from 2000 to 2007. Based on the method of cross wavelet and wavelet coherence techniques, the coherence of positive correlation oscillations between the radio bands of OJ 287 is the highest, and the correlation degree is particularly strong, especially at oscillating period of 8-16 and 16-32 months. The outbursts of radio wavelengths are almost instantaneous at oscillating period of 16-32 months, and there is a minor time delay of 20±6 day at oscillating period of 8-16 months. High frequency band gets ahead of low frequency when they have a minor time delay.