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On the latest leg of her seven-nation African tour, she said students could write a new chapter in history.
Violence flared in the country’s mineral-rich east last year, raising fears of a return to civil war.
She said people must condemn the mass rapes reportedly carried out by rebels and government troops there.
Congo has been wracked by violence since a 1998 insurrection led by rebels linked to Rwanda and Uganda that has left more than four million people dead.
The attacks have increased since January when an offensive was launched by Congolese troops with support from the United Nations peacekeeping force.
This year alone, an estimated 600 civilians have been killed, 800,000 forced from their homes and thousands of women and girls raped by rebels and government forces.
Speaking in the Congolese capital Kinshasa, Mrs Clinton urged students to put pressure on the authorities to take action.
"You are the ones who have to speak out. Speak out to end the corruption, the violence, the conflict that for too long have eroded the opportunities across this country," she said.
On Tuesday Mrs Clinton will meet President Joseph Kabila in the eastern town of Goma, where she will push the issue of ending human rights atrocities including mass rapes.
Source: BBC.com