The Cherries kept their survival hopes alive thanks to a double from the former Liverpool forward, who had only scored once for the club before facing the Foxes.
On Solanke's two-goal performance, Howe said: "I thought he was very good today. He took his goals very well, both showed his qualities. I always believe Dominic is going to be a massive player for us in the future and that will do his confidence the world of good.
"Dominic is a very unique player, he has attributes we really like and value and I think he's done very well mentally to make sure outside noise doesn't affect him."