Humans have eyelids to prevent the cornea drying out, we blink to moisten them. Fish do not need eyelids as their eyes are constantly moist.
Their 'sleep' is probably different to most land animals, they reduce activity and metabolism which is probably their version of sleep. Fish do not show brainwave patterns like REM sleep seen in humans. I think some sharks have to swim while 'sleeping'.
- Chemistry4me - 15th Apr 09