The under-pressure social networking site - which has previously faced a huge amount of criticism for its relationship with Cambridge Analytica - has confirmed it plans to inform the people who have taken the test that the data they shared "may have been misused".
MyPersonality is only the second of the apps that were suspended by Facebook in light of the Cambridge Analytica data-abuse scandal to have been banned.
The first of the banned apps was This Is Your Digital Life, which is Cambridge Analytica's data-harvesting personality test.
The creator of MyPersonality has described the decision taken by Facebook as "odd".
The announcement comes shortly after the social network site revealed it has started to score some of its users on their trustworthiness.
The firm said the scoring will be based people's handling of fake news on the platform, but it wouldn't go into detail about how the rating would be calculated, or who would use it beyond the misinformation team.
A spokeswoman said: "We developed a process to protect against people indiscriminately flagging news as fake and attempting to game the system.
"The reason we do this is to make sure that our fight against misinformation is as effective as possible."