How do you get monster eggs in monster ranch

Two ways:

1. Go to the breeding shrine and put 2 lvl 15 or overs in the breeding shrine (1 Male and 1 Female), eventually they will leave an egg (note, when the egg comes, the 2 monsters run away FOREVER)

2. I got a Malophant (Demonic type!) egg from a daily reward, so there is a daily reward chance.

Hope this helps ;)