A tertiary aminoalcohol having a tert-amino group(s) in the main chain and hydroxyl groups at the terminals. The use of this compound for purposes different from that of ordinary amines and amine derivatives is expected. A process for producing the tertiary aminoalcohol wherein a catalyst comprising copper, a transition metal element of the fourth period and a platinum group element of the group VIII, and further optionally containing an alkali metal or an alkaline earth metal is used. A process for producing polyurethane using the above-mentioned tertiary aminoalcohol which can solve the problems occurring in the production of a polyurethane using a tertiary amine which has a strong irritating odor and is highly irritant to the skin as a catalyst, for example, deteriorations of working atmosphere and sales appeal of the polyurethane. The chemical structure of the above-described tertiary aminoalcohol is as follows: