The behavior of the light curve of 3C 345 is analyzed using all B magnitudes available in the literature, thus extending the number of points in the compiled light curve of this object by a factor of more than 50 percent and the coverage by about 7 yrs, in comparison with the light curve compiled by Kidger and Beckman (1986). In addition, a new and better m(B) - m(pg) correction is applied to all the data. Results of the analysis demonstrate that the light curve of 3C 345 is effectively aperiodic and that the power spectrum is not continuous, in the sense that even overlapping sections of light curve have very distinct power spectra. This behavior indicates that the curve variations are random. This conclusion is supported by the use of the Jurkevich (1971) V(m)-sq statistic.