1 to let sb sleep at your house -- héberger
We offered to put them up for the night. Nous avons offert de les héberger.
3 to build; to erect -- construire
They’re putting up some new houses.
4 to fix on a wall etc -- accrocher (au mur)
He put the poster up.
5 to increase (a price etc) -- augmenter
They’re putting up the fees again.