The present invention provides a snore suppression pillow made of spatial fabric. The pillow has two surface layers and at least one inner wing. The surface layers define a receiving space therebetween. At least one pocket opening is formed on at least one side of the surface layers, in which the pocket opening is in communication with the receiving space. The wing connects to the surface layers and is folded into the receiving space via the pocket opening. The wing defines or is formed with a hollow part in the center of the pillow. Thereby, the surface layers can remain as smooth as an ordinary pillow can be when the pillow of the present invention is not in use. On the other hand, when a user rests his/her head on the pillow, his/her occipital bone can be positioned within the hollow part so that his/her head can tilt backward and his/her upper respiratory tract can be stretched. Snore is therefore mitigated. The nature of the spatial fabric makes the pillow resilient enough to support the head and also washable.本發明提供一種由立體織物製成的止鼾枕,其包括二面層及至少一內翼,該二面層之間形成一容置空間,該二面層至少一側邊形成一與容置空間連通的袋口,該內翼與該二面層相連而經由袋口折入容置空間,內翼圍構或具有一位於止鼾枕中央的鏤空部。本發明的止鼾枕不使用時,面層能保持近乎一般枕頭的平整度,而當頭頸部枕於本發明的止鼾枕時,枕骨中央恰對應於鏤空部,使頭頸自然後仰,拉伸上呼吸道,減緩打鼾,其立體織物製成的本質使其具有足夠的支撐性,且易於清潔。1‧‧‧主枕結構31、41‧‧‧自由端32、42‧‧‧凹弧輪廓50‧‧‧鏤空部