A hydrostatic stepless transmission (“HST”) includes a center casing into which a plunger block of a hydraulic pump and a plunger block of a hydraulic motor are inserted. Plunger ports are open and aligned peripherally on an outer peripheral surface of each plunger block. A pair of main fluid passages of a closed fluid circuit fluidly connecting the hydraulic pump to the hydraulic motor are formed in opposite side portions of the center casing. Each of the main fluid passage includes peripheral grooves formed on an inner peripheral surface of the center casing so as to face the plunger ports of the respective plunger blocks, and includes an axial fluid duct formed to be interposed between the peripheral grooves. A bearing gap is provided between the inner peripheral surface of the center casing and the outer peripheral surface of the plunger block so as to cause a dynamic pressure action of fluid.