A nasal delivery device for administering a substance to the nasal cavity of a subject, such that the administration device comprises: a container receiving unit (16), comprising a container chamber (23) intended to receive a substance containment container (C), which contains the substance to be administered to the subject's nasal cavity, such that the container chamber (23) includes an inlet (24) and an outlet (25); a nose piece unit (17), which includes a nose piece (47) intended to fit in a nasal cavity of the subject and which is in fluid communication with the outlet (25) of the container chamber (23); and a nozzle unit (19), which includes a nozzle (77) in fluid communication with the inlet (24) of the container chamber (23), and through which the subject using it exhales, in order to drag the substance from the container (C) and supply it through the nose piece (47), and an air chamber (78) that connects, in fluid communication, the nozzle (77) with the inlet (24 ) of the container chamber (23), characterized in that the air chamber (78) incorporates a temperature regulator (79) to cool an air flow as it is exhaled therethrough.Un dispositivo de administración nasal para administrar una sustancia a la cavidad nasal de un sujeto, de tal manera que el dispositivo de administración comprende: una unidad (16) de recepción de recipiente, que comprende una cámara (23) de recipiente destinada a recibir un recipiente (C) de contención de sustancia, que contiene la sustancia que se ha de administrar a la cavidad nasal del sujeto, de tal modo que la cámara (23) de recipiente incluye una entrada (24) y una salida (25); una unidad (17) de pieza de nariz, que incluye una pieza de nariz (47) destinada ajustarse en una cavidad nasal del sujeto y que está en comunicación de fluido con la salida (25) de la cámara (23) de recipiente; y una unidad de boquilla (19), que incluye una boquilla (77) en comunicación de fluido con la entrada (24) de la cámara (23) de recipiente, y a