AYb3+∶KBaY(MoO4)3 (Yb3+∶KBYM) crystal with dimensions of 51 mm × 27 mm × 10 mm was successfully grown by the TSSG method.The characteristics of the crystal structure and probability of good optical properties were analyzed.The absorption and emission spectra of Yb3+∶KBYM crystal exhibit broadened bands,with the maximum absorption cross-sections of 1.17 × 10-20,1.44 ×10-20 and 1.37 × 10-20 cm2 at 976 nm for X-,Y-and Z-polarizations,respectively.The corresponding absorption FWHMs are as wide as 77,46 and 55 nm.The well-known re-absorption effect of Yb3+ in the crystal is discussed.Two methods,the Füchtbauer-Ladenburg method (FL) and reciprocity method (RM) were adopted to compute the emission cross-sections and results show a certain discrepancy but the errors are allowable.The laser potentiality of the Yb3+∶KBYM crystal was also evaluated by calculations of minimum inversion fraction βmin,saturation pump intensity Isat,the minimum pump intensity Imin and gain cross-sections spectra.Laser experiment was carried out and Watt-level continuous wave laser has been realized.Results indicate that the Yb3+∶KBYM crystal with a disordered structure may be a potential laser media that can be used to generate tunable and ultrashort pulse laser emissions with high quality beam.