  We propose a new, simple but powerful algorithm to analyze the gamma-ray
burst temporal structures based on identifying non-statistical variations
(``peaks'') in the time histories. Detailed analyses of the bursts from the
third BATSE catalog show that $\sim 30$ bursts have more than 20 peaks
individually. Upon identifying most of the peaks in those bursts, we show that
the peak fluence $S_i$ and peak interval $\delta_i$ distributions within each
burst are consistent with log-normal distributions. Furthermore, we show that
Gaussian (in linear space) and power-law distributions for peak fluences are
ruled out, as is the Poisson distribution for peak intervals.
