“In light of ongoing investigations into the origin of COVID-19 and in consultation with public health experts, we will no longer remove the claim that COVID-19 is man-made or manufactured from our apps,” Facebook said in a statement on its website Wednesday.

President Biden on Wednesday ordered a U.S. intelligence inquiry into the origins of the virus. The White House has come under pressure to conduct its own investigation after China told the World Health Organization that it considered Beijing’s part of the investigation complete, calling for efforts to trace the virus’s origins to shift into other countries.

Earlier this month a group of 18 prominent scientists called for a deeper investigation into the circumstances in which the virus emerged, including the possibility that a laboratory accident released it.

China has repeatedly denied that the virus escaped from one of its labs and accused the U.S. of hyping the lab-leak theory. On Sunday, China’s foreign ministry cited a WHO-led team’s conclusion, after a visit to the Wuhan Institute of Virology in February, that a lab leak was extremely unlikely.

Facebook in February began the ban on claims the virus was man-made or manufactured as part of a list of misleading health claims that aren’t allowed.

“We’re continuing to work with health experts to keep pace with the evolving nature of the pandemic and regularly update our policies as new facts and trends emerge,” Facebook said in its statement Wednesday.

Facebook has struggled with regulating user content, resulting in complaints from lawmakers, advocacy groups and users who said that its decisions are opaque, inconsistent and unfair. Even though it lists community standards on its website, other internal guidelines aren’t made public. The logic behind some other enforcement efforts is unclear, and its system for adjudicating content has resulted in many users facing punishments for infractions they don’t understand.

Facebook’s independent oversight board has been critical of the company’s enforcement effort. In its decision earlier this month upholding a ban on former President Donald Trump, the board said the company must better explain its reasoning if it decides to permanently lock him out. The board urged the company to more clearly articulate its rules for prominent individuals and develop penalties for violators, and levied criticism over failing to state clear rules and explain how it enforces them.

The board has also reversed some moderation decisions, including a ruling that it had been too strict in removing a user’s post praising the use of hydroxychloroquine, a once widely discussed treatment for Covid-19 that medical authorities have generally found not to be effective.

—Sarah Needleman contributed to this article.

Write to Newley Purnell at newley.purnell@wsj.com