In a unit-type strain wave gearing, a rotating-side member, which is constituted by a second internally toothed gear and an output shaft is supported, via a first sliding bearing and a second sliding bearing, on a fixed-side member so as to be capable of relative rotation, the fixed-side member being constituted by a unit housing and a first internally toothed gear. Sliding bearing surfaces of the first sliding bearing and sliding bearing surfaces of the second sliding bearing are defined by a conic surface having a central axis line as a center line. It is possible to realize a unit-type strain wave gearing which is advantageous in making smaller and more compact than when a roller bearing is used. It is also easier to adjust the gap between the sliding bearing surfaces because a radial sliding bearing having no function to adjust the radial gap is obviated.