U(Ni,Rh)Al alloys crystallize in the hexagonal ZrNiAl structure. Here, we report on measurements on a single crystalline member of this series, namely, U Ni0.39 Rh0.61 Al. Similar to other members of this series, this compound exhibits highly anisotropic properties with the easy-magnetization direction along the c -axis. We report in the results of electrical resistance, magnetoresistance, and thermal expansion as a function of temperature (2-300 K) and applied magnetic field (0-18 T). The results provide strong evidence for antiferromagnetic ordering at TN ≤15 K followed by a ferromagneticlike (ferro-or ferrimagnetic) transition around 7 K (we use the term "ferromagneticlike" because, based on our bulk data, we cannot exclude canted moments with antiferromagnetic components or ferromagnetic order of two different moments). A magnetic B-T phase diagram for U Ni0.39 Rh0.61 Al is proposed.