The Twenty20 competition had already been shortened by four days last week, with several foreign players leaving before the semi-finals.
Multan were scheduled to face Peshawar in the first last-four clash at Lahore’s Gaddafi Stadium.
That match was due to be followed by Karachi vs Lahore.
The final was scheduled for the same venue on Wednesday.
When will the Pakistan Super League resume?
Details about when the competition will resume are yet to be announced.
The Pakistan Cricket Board (PCB) tweeted earlier: “HBL PSL 2020 postponed, to be rescheduled. More details to follow in due course.”
Multan’s Shahid Afridi also wrote on Twitter: “Sad to see the PSL end, but health and safety of all concerned is the key.”
The PSL postponement followed Pakistan’s decision to suspend all domestic football competitions because of the coronavirus outbreak which has disrupted sport around the world and killed over 7,000 people.
The last leg of Bangladesh’s tour of Pakistan, which involved a test match and a one-day international in Karachi next month, has also been postponed.