A hydraulic machine (60, 70) comprising a housing (12, 14, 16) and at least first and second hydraulic units. Each unit comprising a cylinder block (36A, 36B) located in the housing and having pistons (42), and a shaft (18, 20) in rotational engagement with the cylinder block (36A, 36B). The shafts (18, 20) being arranged coaxially and being coupled so as to rotate together. The machine (60, 70) further comprising bearings (30, 32, 34, 71) for supporting the shafts (18, 20) in the housing (12, 14, 16). The shafts (18, 20) are coupled by corresponding male and female splined end portions (18A, 20A) thereof engaged one in the other, and the bearings (30, 32, 34, 71) comprise first and second bearings (30, 32) for respectively supporting the shafts (18, 20) at portions thereof located on the other sides of the cylinder blocks (36A, 36B) with respect to said splined end portions (18A, 20A). A single third bearing arrangement (34, 71) engages one of the shafts (18, 20) at least in the vicinity of the splined end portion (18A, 20A) thereof thereby supporting the shafts (18, 20) between said cylinder blocks (36A, 36B).