I've gone through this with each of my children (6,4 & 20 months). What I've done is: lay the child on his back on the floor, I sit at his head with my legs over his arms and my ankles over his knees. Then I pry his eyelids open and squeeze the drops in. I know this sounds horrible, but the medicine HAS to be administered for the child to get better and what I described above takes less than a minute and I give hugs and M&M's after it's all done. After one or two times of giving the medicine this way, my older children learn that it's easier to be calm and "go along" with it. I tell them (for eye drops, nose sprays or yucky medicine) "you can do it like a big boy or I can hold you down but the medicine HAS to go in." They eventually take the medicine calmly and I let them hold the tissue to wipe away the excess.