put (one's) hair up
To tie or secure one's hair in a style that is raised above and away from one's face, as in a ponytail or bun I always put my hair up when I'm working. I didn't have time to do anything fancy with my hair, so I just put it up before I went to work.
put one's hair up
to arrange one's hair into a ponytail, bun, etc. (with curlers, hairpins, etc.). I can't go out because I just put my hair up. I put up my hair every night.