We report the serendipitous discovery of a transient X-ray source, Suzaku J1305$-$4930, $sim$3 kpc southwest of the nucleus of the Seyfert 2 galaxy NGC 4945. Among the seven Suzaku observations of NGC 4945 from 2005 to 2011, Suzaku J1305$-$4930 was detected four times in July and August in 2010. The X-ray spectra are better approximated with a multi-color disk model than a power-law model. At the first detection on 2010 July 4--5, its X-ray luminosity was $(8.9^{+0.2}_{-0.4}) times 10^{38}$ erg s$^{-1}$ and the temperature at the inner-disk radius ($kT_{rm in}$) was $1.12pm0.04$ keV. At the last detection with Suzaku on 2010 August 4--5, the luminosity decreased to $(2.2^{+0.3}_{-0.8}) times10^{38}$ erg s$^{-1}$ and $kT_{rm in}$ was $0.62pm0.07$ keV. The source was not detected on 2011 January 29, about six months after the first detection, with a luminosity upper limit of $2.4times10^{38}$ erg s$^{-1}$. We also find an absorption feature which is similar to that reported in Cyg X-1. Assuming the standard disk, we suggest that Suzaku J1305$-$4930 consists of a black hole with a mass of $sim$10 $M_{odot}$. The relation between the disk luminosity and $kT_{rm in}$ is not reproduced with the standard model of a constant inner radius but is better approximated with a slim-disk model.