A pressure sensor, comprising a sensor body (2; 2', 4") made at least in part of electrically insulating material, having a first end face and a second end face opposite to one another, the sensor (1; 1') further comprising a circuit arrangement supported at least in part by the sensor body (2; 2', 4") and including: - a first electrical circuit pattern, comprising a plurality of respective electrically conductive tracks on the first end face; - at least one circuit component for detecting a pressure of a fluid, preferably electrically connected to the first electrical circuit pattern; - a second electrical circuit pattern on the second end face, preferably comprising at least one electrically conductive track (11, 11b, 13, 14b, 15b); - connection means which electrically connect the first electrical circuit pattern to the second electrical circuit pattern, comprising at least one through hole (14-14a, 15-15a), such as a metallized hole, which extends axially between the first and second end faces (2a, 2b) of the sensor body (2; 2', 4"), wherein on an internal surface of the at least one through-hole (14-14a, 15-15a) a layer of electrically conductive material extends, the ends of said layer being electrically connected to the first and second electrical circuit patterns (6, 7); - a plurality of electrical terminals or contacts, for connection of the circuit arrangement to an external system, the terminals or contacts being electrically connected to at least one of the first electrical circuit pattern and the second electrical circuit pattern, wherein the at least one through hole (14-14a, 15-15a) is closed at an opening thereof, at the second end face of the sensor body, the pressure sensor device being characterized in that: - the at least one through hole (14-14a, 15-15a) is closed at said opening by means of a closing member (30; 30') having a pre-formed body, i.e., a body on which there is bestowed a substantially predefined shape before it is mounted on the sensor body, - the pre-formed body of the closing member (30; 30') has a closing portion having a perimetral or cross-sectional dimension (D 1), in particular a diameter, greater than a perimetral or cross-sectional dimension (D H), in particular a diameter, of the opening of the through hole (14-14a, 15-15a) at the second end face of the sensor body (2; 2', 4"), and - at least one portion (31, 32) of the pre-formed body of the closing member (30; 30') is fixed in position in a fluid-tight way with respect to the corresponding through hole (14-14a, 15-15a). - a first electrical circuit pattern, comprising a plurality of respective electrically conductive tracks on the first end face; - at least one circuit component for detecting a pressure of a fluid, preferably electrically connected to the first electrical circuit pattern; - a second electrical circuit pattern on the second end face, preferably comprising at least one electrically conductive track (11, 11b, 13, 14b, 15b); - connection means which electrically connect the first electrical circuit pattern to the second electrical circuit pattern, comprising at least one through hole (14-14a, 15-15a), such as a metallized hole, which extends axially between the first and second end faces (2a, 2b) of the sensor body (2; 2', 4"), wherein on an internal surface of the at least one through-hole (14-14a, 15-15a) a layer of electrically conductive material extends, the ends of said layer being electrically connected to the first and second electrical circuit patterns (6, 7); - a plurality of electrical terminals or contacts, for connection of the circuit arrangement to an external system, the terminals or contacts being electrically connected to at least one of the first electrical circuit pattern and the second electrical circuit pattern, - the at least one through hole (14-14a, 15-15a) is closed at said opening by means of a closing member (30; 30') having a pre-formed body, i.e., a body on which there is bestowed a substantially predefined shape before it is mounted on the sensor body, - the pre-formed body of the closing member (30; 30') has a closing portion having a perimetral or cross-sectional dimension (D 1), in particular a diameter, greater than a perimetral or cross-sectional dimension (D H), in particular a diameter, of the opening of the through hole (14-14a, 15-15a) at the second end face of the sensor body (2; 2', 4"), and - at least one portion (31, 32) of the pre-formed body of the closing member (30; 30') is fixed in position in a fluid-tight way with respect to the corresponding through hole (14-14a, 15-15a).