In a stick type cosmetic material feeding container 1, a stick type cosmetic material A retained at a front end of a core chuck member 30 moves in an axial direction in a front cylinder 10 by a feeding mechanism due to rotary operation of the front cylinder 10 and a base cylinder 20. A cylindrical body 34 which defines the advance limit and retreat limit of a feeding stroke is installed at a rear part of the core chuck member 30. Elastic engagement projections 37 which are spirally engaged with a roulette-shaped spiral 22 of the base cylinder 20 and have elasticity are installed at an outer circumference of the cylindrical body 34. Further, the cylindrical body 34 is provided with an elastic slit 34c for absorbing a shock in an axial direction. When the engagement projections 37 go over the spiral 22 and make clutch rotations at least at the retreat limit of the core chuck member 30, the elastic slit 34c attenuates the shock in an axial direction to the core chuck member 30 which has arisen resulting from the clutch rotations.