Acton's tweet comes even as Facebook is in the eye of a storm after reports emerged that a political data analysis company Cambridge Analytica accessed 50 million Facebook users' data without their permission.
Acton and business partner Jan Koum, former Yahoo employees, founded WhatsApp in 2009.
Many people have turned against Facebook after the recent revelation that data of 50M Facebook users was breached in the US Presidential Election, this data played an important role in the outcome of the election.
Facebook knew about this data leak back in 2015, but didn't make the information public.
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"It is time.#deletefacebook" Acton said without elaborating any specific reason.
Acton was the one who sold WhatsApp to Facebook for a price of $19 billion dollars. Koum remains with the company, but Acton left WhatsApp in 2017 to start his own nonprofit foundation "focused at the intersection of nonprofit, technology and communications".
While WhatsApp has not commented on the issue, the debate around data privacy and policies on the social network will continue.
The news which broke over the weekend has now grown into a full blown crisis with lawmakers in the US, UK and Europe demanding answers from Facebook CEO Mark Zuckerberg. "It is now time to hear from a senior Facebook executive with the sufficient authority to give an accurate account of this catastrophic failure of process". His app, "thisisyourdigitallife", offered a personality prediction, and billed itself on Facebook as "a research app used by psychologists". Wylie's attorney said Sunday that Facebook "privately welcomed" Wylie's help and then publicly suspended his account.