We have mapped the southern edge-on spiral galaxy NGC 4945 in 12CO(1-0) and 12CO(2-1) with the SEST telescope. Additional 13CO spectra were also obtained. The intense nuclear CO emission is in agreement with the revised classification of this galaxy as an Sc object. NGC 4945 was for many years known to be a prototype of nuclear activity with detections of various molecular lines at cm-wavelengths, an OH kilomaser, a superluminous H2O maser, etc. (Whiteoak, 1986). A host of molecules (CN, CS, C2H, HCN, CH3OH, etc.) has recently been detected at mm-wavelengths in the nucleus of NGC 4945 (Henkel et al., 1990).