A cooling sensation agent composition with a prolonged cool sensation effect is provided comprising at least one compound selected from the group consisting of aceia or ketal derivatives of 3-(1-menthoxy)propan-1,2-diol represented by Formula (1), single or mixed carbonic esters ol one or two kinds ol alcohols represented by Formula (2), and carboxylic esters represented by Formula (4). A sensory stimulation agoni composition, a flavor or fragrance composition, a beverage or food product, a perfume or cosmetic product, a toiletry product, a daily utensil product or grocery, a fiber, a fiber product, a cloth or a medicine comprising the cooling sensation agent composition a production method thereof a cooling processing method of a fiber, fiber product or a cloth, comprising compounding the cooling sensation agent and new compounds are also provided.