PROBLEM TO BE SOLVED: To provide an eye contact device and assembly for stabilizing a human eye at a selected position in an external coordinate system.SOLUTION: The device includes an eye-contact member 120 having an inner contact surface for contacting a front surface of an eye, and a vacuum port 210 formed within the eye-contact member and communicating with the eye-contact members contact surfaces, by which a negative pressure can be applied between the eye 130 and the contact surface, to stabilize the position of the eye with respect to the device 110. The device, which is adapted to be biased against the patients eye, to secure the device to the eye, may be pivotally coupled to a positioning arm 180, and may carry one or more beam-directing elements by which the position of the device in an external coordinate system can be determined.