Having a hot, burning sensation in your eyes could be an indication that you are suffering from pink eye.
Since this condition can start in one eye and then spread to the other in a few days, there may be different levels of burning in each of the eyes.
Burning in the eyes, however, could be caused by conditions besides pink eye. Something as simple as smoke in the air could make your eyes start to burn.
If this is the only symptom you're experiencing and it doesn't go away in a few days, you'll want to visit a medical professional to test for pink eye or another eye disorder.