6.7 GHz methanol maser emission from the well-studied star-forming region Cepheus A was monitored with the Torun 32 m radio telescope . We found synchronized and anticorrelated changes of the flux density of the two blueshifted and one redshifted maser features for \sim 30 per cent of 1340 d of our observations . Two of those features exhibited high amplitude flux density variations with periods of 84 - 87 d over the last 290 d interval of the monitoring . We also report on two flares of emission at two different redshifted velocities completely covered during the whole outburst . These flare events lasted 510 - 670 d and showed a very rapid linear rise and slow exponential decline , which may be caused by variability of the seed flux density . The flux density of the two strongest features dropped by a factor of 2 - 5 on a time-scale \sim 22 yr , while other features have not changed significantly during this period , but showed strong variability on time-scales \la 5 yr .