The issue has caused heated debate in the United States and was again put in the spotlight last week after deadly police shootings of black men in Charlotte and Tulsa.
Trump used his opening segment on the same issue to stress the importance of "law and order", and praised the stop-and-frisk policy - which was struck down by a New York judge and widely deemed a form or racial profiling.
Later on, Clinton said Trump has a "long history of engaging in racist behaviour", bringing up how his family company was sued by the justice department for racial discrimination in 1973 for not renting apartments in one of its developments to African Americans.
Trump responded that the lawsuits had been settled "with no admission of guilt".
When he was pressed about what he would say to people offended by his years of questioning whether President Barack Obama was born in the US, Trump did not respond directly, instead
When he was pressed about what he would say to people offended by his years of questioning whether President Barack Obama was born in the US, Trump did not respond directly, instead praising himself for forcing Obama to produce his birth certificate.