Apparatus for performing intraocular surgery on an eye of a patient using a tool (21) having a tip, the apparatus comprising: a robotic unit (20) and a computer processor (28). The robotic unit (20) comprises: a tool mount (30) configured to securely hold the tool (21) thereupon and configured to insert the tool (21) into the patient's eye such that entry of the tool (21) into the patient's eye is via an incision point, and the tip of the tool (21) is disposed within the patient's eye; and one or more multi-jointed arms (32) disposed on a single side of the tool mount (30) and configured to moveably support the tool mount (30). The computer processor (28) is configured to drive the robotic unit to perform at least a portion of a procedure on the patient's eye by moving the tip of the tool (21) in a desired manner with respect to the eye such as to perform the portion of the procedure, while entry of the tool (21) into the patient's eye is maintained fixed at the incision point.