A device including a contact tonometer tip having a bi-curved cornea-contacting surface structured to reduce, during the tonometric measurement, at least the measurement error caused by the presence of a fluid film between the tip and the cornea and/or the intra-corneal stress formed during the applanation deformation and occurring at a location of the tip-to-cornea contact area. Method for using such device for measurement of intraocular pressure while procuring values IOP with increased accuracy as compared to those obtained with the use of a conventional flat-surface tonometer tip. The cornea-contacting surface includes a first central portion and a second portion that encircles and adjoins the first central portion. The curvatures of the first and second portions have opposite signs. In one case, the first central portion has a curvature with the same sign as that of the cornea and/or is rotationally-symmetric.
