The scale-free power-law-like signature of statistics of electronic-bulletin-board-system (BBS) server visiting is reported. The Tsallis entropy approach was employed to lit data sets acquired from servers sited at three Chinese universities. It was found that the exponent of power-law-like probability distribution function, as well as the factor similar to the Lagrange multiplier introduced by the maximum entropy principle, probably depends on the number of discussion forums in BBS servers, while the mathematic expectation does not. It was concluded that statistics of BBS visiting is a good realistic candidate for complex network studies.