The authors have investigated the superconductivity in splat-cooled UMo alloys by low-temperature resistivity and specific-heat measurements down to 0.4 K. The y-U materials, such as U-MoI5 (with 15 at. percent Mo doping), exhibit a conventional BCS superconductivity with Tc = 2.1 K and upper critical field exceeding 5 T, much higher than that for a-U materials. The alloys with 10 at. percent Mo doping consist of a mixed y+a-U phase. The superconducting transition in the UMo6 revealed by a smooth decrease below 1.5 K and a sharp drop at 0.6 K in the resistivity indicating that y-U grains are embedded in the a-U matrix. The superconductivity transition was revealed by A-type peak at Tc in the C(1) curve only for U-Mo15, while only one broad peak at Te in the C(1) curves were observed for other UMo splats. With applying the magnetic fields, the resistivity jumps and specific-heat peaks move to lower temperatures.