"I am happy to relinquish this role to someone who can give a much more accurate portrayal and I will commit to learning, growing and doing my part for equality and inclusion."
Kristen will still work on the show, but in a different role.
The team behind the series have vowed to "do better" and admitted they "profoundly regret that we might have contributed to anyone's feeling of exclusion or erasure".
They added in a statement: "Black people and people of colour have worked and will continue to work on Central Park but we can do better.
"We're committed to creating opportunities for people of colour and Black people in all roles on all our projects - behind the mic, in the writers room, in production and in post-production.
"Animation will be stronger for having as many voices, experiences, and perspectives as we can possibly bring into the industry. Our shop and our show will be better for respecting the nuances and complexity around the issue of representation and trying to get it right."
Jenny Slate has also announced she will no longer voice a bi-racial character on Big Mouth.
In the wake of the recent Black Lives Matter protests, the 38-year-old actress revealed that she has quit the animated show and will no longer play Missy, a black character whose mother is white.
She said: "At the start of the show, I reasoned with myself that it was permissible for me to play Missy because her mom is Jewish and white - as am I. But Missy is also black, and black characters on an animated show should be played by black people. I acknowledge how my original reasoning was flawed, that it existed as an example of white privilege and unjust allowances made within a system of societal white supremacy, and that in me playing Missy, I was engaging in an act of erasure of black people. Ending my portrayal of Missy is one step in a life-long process of uncovering the racism in my actions.
"As I look back on the nature and emergence of my own voice in comedy, I know that I have made mistakes along the way. I can't change the past, but I can take accountability for my choices. I will continue to engage in meaningful anti-racist action, to be thoughtful about the messages in my work, to be curious and open to feedback and to do my best to take responsibility for the ways that I am part of the problem.
"Most importantly, though, to anyone that I've hurt: I'm so very sorry. Black voices must be heard. Black Lives Matter."