She was apprehended by New York Police Department officers after a almost four-hour standoff as she refused to descend from the national monument's base.
"Rise and Resist planned a banner drop today at the Statue of Liberty". The group said the climber is not affiliated with the earlier protest.
After more than two hours, police have apprehended a woman who climbed the base of the Statue of Liberty. She declared she wouldn't come down until "all the children are released", a source with the New York Police Department told CNN.
As they approached, she initially moved away, took off her shoes and appeared to be starting to climb further. With the dramatic scene unfolding on live television, she and the officers edged carefully around the rim of the statue's robes toward a ladder, and she climbed down about 25 feet (8 meters) to the monument's observation point and was taken into custody.
Okoumou, who was surrounded by approximately 50 supporters during her roughly six-minute hearing, told a federal judge she understood the counts against her. Crowds cheered in front of the courthouse as she stepped up to a podium to speak publicly for the first time since the climb.
Though Guadino said the group supports the woman and "certainly understand the feeling that motivated her to do this", they were very concerned for her safety.
"ICE has proved to be a threat to our liberty and way of life, and should be abolished", said Leon Kirschner, Rise and Resist member.
The protest - which fell on Independence Day when the majority of Americans are on a public holiday - came after Mr Trump was labelled a "wasteman" for his border policy by the lord mayor of Sheffield.
Rise and Resist is now working to secure her legal representation.
Several people hung the "Abolish ICE" banner and were arrested, according to multiple reports.
Tourists have been evacuated from Liberty Island in NY after a woman climbed up on to the Statue of Liberty and sat at the monument's base. The group said in a tweet that the woman climbing the statue is not related to their protest. "We don't condemn her for the choice she made, and we're going to do anything we can to support her", he said.