In the last few decades laser eye surgery has been implemented in various ophthalmic procedures. The most important issue with laser eye surgery is the estimation of temperature rise in eye tissues due to the absorption of high intensity laser radiation. The 2D model of the human eye, using the Finite Elements Method, is developed in order to study the temperature distribution in human eyes subjected to radiation by two infrared lasers, the 1064 nm Nd:YAG and the 2090 nm Ho:YAG laser. The mathematical model is based on the space-time dependent Pennes' bioheat transfer equation supplemented with natural boundary condition equations for the cornea and the sclera. The results could prove to be useful in predicting the damage to intraocular tissues due to heating by infrared laser radiation.