Ophthalmological device including an applanation tonometer tip having a bi-curved cornea-contacting surface and method of using such device for measurement of intraocular pressure. The cornea-contacting surface includes a first rotationally symmetric portion a curvature of which is substantially adapted to that of a typical cornea and a second rotationally symmetric portion that is peripheral to and adjoining the first portion. In operation, the applanation of the cornea in an area corresponding to the first portion of the cornea-contacting surface is substantially negligible.
