A pair of spectacles having bio-sensors for detecting signals in contact with a user's head includes a front frame for lenses and a nose support device which is provided on the frame, the nose support device includes a mount made of an electrically non-conductive material and which can be removably connected to the frame, the mount having first and second nose support elements thereon, and which incorporate first and second nose sensors, formed from an electrically conductive material, capable of surface contact with corresponding laterally opposite zones of the nose. Each of the nose support elements is mounted on a respective support connected to the mount by a respective screw type element of a conductive material capable of electrical contact with the support, and each screw type element is capable of electrical contact with an electric circuit in the frame, the circuit being interposed between the frame and the mount.