The intermetallic compound UPdSn has been studied by means of dc magnetic susceptibility and neutron diffraction. While it has been assumed in previous work that the space group is P6(3)/mmc and there is disorder between the Pd and Sn atoms, we find a significantly better fit to our data with the related space group P6(3)mc which allows Pd/Sn ordering. There are two magnetic phase transitions at approximately 25 and 40 K. Above 40 K, there is no long-range magnetic order, but between 25 and 40 K, a canted antiferromagnetic structure forms, in which the moments lie in, or close to, the y-z-plane of a double-sized orthorhombic cell, with an angle of approximately 54-degrees away from the z-axis. Below 25 K, the moments rotate out of the y-z-plane by approximately 45-degrees to form a second related non-collinear structure. At the lowest temperature measured, the uranium moment is (2.05 +/- 0.13)-mu-B.