A high quality Yb:Ca₃La₂(BO₃)₄ disordered laser crystal has been successfully grown by the Czochralski method. The complete set of anisotropic thermal properties were systematically studied for the first time. In addition to, continuous-wave and passively Q-switched laser operation of the disordered Yb:Ca₃La₂(BO₃)₄ has been demonstrated under diode pumping. The most efficient cw output power of 1.83W was obtained along the a-cut with an optical-to-optical efficiency of 23.9%. The slope efficiency in the whole range was 27.6%. Passively Q-switched by a Cr⁴⁺: YAG saturable absorber, the laser yielded an average output power of 0.47W with a slope efficiency of 7.6%. The generated pulse energy, duration, and peak power were 94 μJ, 33ns, and 2.85KW, respectively. We believe that the reliability and stability of these lasers makes the Yb:Ca₃La₂(BO₃)₄ disordered crystal of considerable interest for applications. 

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