The move comes amid a federal investigation into the security of the server and whether there was classified information in the emails.
The State Department is in the process of reviewing and releasing some 30,000 emails that were sent during Clinton's time at the state department.
"She pledged to cooperate with the Government's security inquiry, and if there are more questions, we will continue to address them," the statement said.
Campaign officials said they were still negotiating turning over the server.
A Clinton campaign official said the camp believes there are no state department emails on the server and all of the emails on the thumb drive have already been turned over.
The official also said that the inquiry was regarding the security of the server, not the content of the emails.
The camp maintains that Clinton did not send any emails that were classified or contained classified information at the time she sent them.
Republicans, who have called on Clinton to turn the server over for independent review for months, welcomed her Tuesday announcement, suggesting it was overdue.
"It's about time," House Speaker John Boehner, R-Ohio, wrote in a statement. "Secretary Clinton's previous statements that she possessed no classified information were patently untrue. Her mishandling of classified information must be fully investigated."
Her announcement "demonstrates what can happen when Congress and those equally committed to exposing the truth," wrote Rep. Trey Gowdy, R-South Carolina, the chairman of the House Select Committee on Benghazi, in a statement.