Hold on: to wait E.g. Hold on until mom is here.
Hold off: to postpone, cancel, or stop an action E.g. He held off preparation for the business trip.
Just to confuse you more…
Hold off on: E.g. She decided to hold off on her vacation plan.
Hold off from: E.g. He held off from entering the house.
Ref: http://www.differencebetween.net/language/difference-between-hold-on-or-hold-off/ https://www.merriam-webster.com/dictionary/hold%20off%20on