The actress posted a link to a video which featured a host who said people taking vaccines would have to "hope it doesn't make extra limbs grow".
The host, Tomi Arayomi, explains in the video he is a "big sceptic of needles and vaccinations in general" and has not decided whether to take a Covid-19 vaccine.
He also admitted that he does not "understand vaccines medically" and he does not present medical evidence.
After Letitia shared the video, she then became involved with heated exchanges with other Twitter users who accused her of spreading misinformation.
In response to the controversy, Letitia tweeted: "If you don't conform to popular opinions, but ask questions and think for yourself... you get cancelled" with a laugh-cry emoji.
However Letitia has since apologised by following-up the tweet mentioned. She said: "My intention was not to hurt anyone, my only intention of posting the video was it raised my concerns with that the vaccine contains and what we are putting in our bodies. Nothing else."
Her Marvel Cinematic Universe co-star, Don Cheadle, also became involved in the controversy after several Twitter users tagged him in tweets responding to Letitia's post.
my intention was not to hurt anyone, my ONLY intention of posting the video was it raised my concerns with what the vaccine contains and what we are putting in our bodies.
- Letitia Wright (@letitiawright) December 4, 2020
The actor said he watched some of the video and described its content as "hot garbage", adding that he would raise the issue with Letitia directly.
Last month, Labour called for financial and criminal penalties for social media firms that do not remove false stories about vaccines.
Letitia is currently starring in Oscar-winning director Steve McQueen's film anthology series Small Axe on BBC One.
In addition to Black Panther, the actress has also appeared in the Avengers sequels Infinity War and Endgame. Letitia has also won the rising star prize at the Bafta Film Awards. She was nominated for a Primetime Emmy Award for her appearance in Black Mirror.
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