My husbands eye has been swelling every morning and then going down during the day. today he found a small bump under his eye lid and he says it hurts?

A stye : Sounds like he has lid inflammation, or blepharitis, and he likely awoke with a stye, which is essentially a pimple on the eyelid. I'd recommend warm compresses and lid massages at least once a day. An antibiotic/steroid combination medication might be helpful too but he would need to see a doctor first.

Stye: Sounds like a stye. Put a hot washcloth on it three or four times per day. See an ophthalmologist if it does not get better in a week.