A paper conveying apparatus and method for flipping paper includes a paper feeding roller that can rotate in a positive direction or in a reverse direction, a motion transfer member that has one end coupled with the paper feeding roller, and a paper depressing element coupled with another end of the motion transfer member to be driven and rotated. The method of flipping paper includes: first, feeding a sheet of paper into a first paper conveying path; next, depressing the paper into a second paper conveying path while the paper is leaving the first paper conveying path; and reentering the paper from the second paper conveying path into the first paper conveying path upside down.