A pressure sensor comprises a first substrate and a cap attached to the first substrate. The cap includes a processing circuit, a cavity and a deformable membrane separating the cavity and a port open to an outside of the pressure sensor. Sensing means are provided for converting a response of the deformable membrane to pressure at the port into a signal capable of being processed by the processing circuit. The cap is attached to the first substrate such that the deformable membrane faces the first substrate and such that a gap is provided between the deformable membrane and the first substrate which gap contributes to the port. The first substrate comprises a support portion the cap is attached to, a contact portion for electrically connecting the pressure sensor to an external device, and one or more suspension elements for suspending the support portion from the contact portion.