Of the roads that were closed, the A6024 Holme Moss and A57 Snake Pass have now reopened.
The top of Snake Pass is passable with care, a spokesperson for the council said.
The spokesperson added: “Our gritting teams worked through the night keeping the main roads open, and this morning have been concentrating on the primary routes.
“With a lot of very wet roads, and freezing temperatures expected tonight, please take care out there later on.
“Our thanks to all our gritting teams and farmer contractors for everything they have done.”