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We report the serendipitous discovery of a transient X-ray source, Suzaku J1305−4930, ∼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 in) was 1.12 ± 0.04 keV. At the last detection with Suzaku on 2010 August 4–5, the luminosity decreased to |$(2.2^{+0.3}_{-0.8}) \times 10^{38}\:$| erg s−1 and kT in was 0.62 ± 0.07 keV. The source was not detected on 2011 January 29, about six months after the first detection, with a luminosity upper limit of 2.4 × 1038 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 ∼10  |$M_\odot$|⁠. The relation between the disk luminosity and kT in is not reproduced with the standard model of a constant inner radius but is better approximated with a slim-disk model. [ABSTRACT FROM AUTHOR]