Make successful, bring off, as in Do you think we can put over this play? [Early 1900s]
Make something or someone be understood or accepted, as in The public relations staff helped put our candidate over to the public. [Early 1900s]
put over on. Fool, deceive, as in We can't put anything over on Tom. [Early 1900s]
Delay, postpone, as in The meeting was put over until tomorrow. [Early 1500s] Also see put off.