"Despite having the mandate of the people who elected me democratically, today I feel that remaining in this position represents a difficulty to continue the success that's been reached", Rosselló said in the video.
"The demands have been overwhelming and I've received them with the highest degree of humility", Rosello said on social media while a crowd of demonstrators was waiting outside the governor's mansion in Old San Juan.
"Given Governor Rossello's historic resignation, I turn to all my fellow Puerto Ricans to ask them for peace and tranquility", said Gonzalez, a Republican and member of Rossello's party.
The island's Secretary of Justice Wanda Vazquez will become the new governor. They joined the tens of thousands that took to the streets in protest.
"What happens [next] is yet to be seen, but it is not just to put another interim government, which is going to be Wanda Vazquez. we don't want her either, it has to be someone clean, fresh, new and genuine and honest. but I don't know what the future hold for us", she added. Rossello called a female politician a "whore", referred to another as a "daughter of a bitch", and made fun of an obese man with whom he posed in a photo.
The obscenity-laced online messages infuriated Puerto Ricans already frustrated with corruption, mismanagement, economic crisis and the sluggish recovery from Hurricane Maria almost two years ago. Other participants, all of them male, also made jokes at the expense of constituents, including survivors of hurricane Maria, and made sexist and homophobic remarks.
A judge issued search warrants for the cellphones of government officials involved in the chat, one of which said the conversations may have illegally divulged confidential government information.
Many people in Chicago's Puerto Rican community are celebrating Thursday morning after the island's embattled governor announced his resignation. Congress approved a financial package, and a federal board is overseeing the island's finances.
Rossello took office in 2017, the year when the archipelago was hit by Hurricane Maria. Rossello complained earlier this year of unfair treatment and a hostile attitude from some US officials.
There have also been recent arrests of six people on federal corruption charges.