From the book:

Roots BY Haley, Alex

Movie Title: Roots

Wikipedia Entry

Movie Year: 1977

Movie trailer: CLICK HERE
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This is not actually a movie, but a TV mini-series based on the book - a rather close adaptation if I recall what I heard at the time. Of course, ti being 1977 the slavery and cruelty was not depicted as gritty as it would be today, but still, it tells the story well.

Summary from IMDB

A saga of African-American life, based on Alex Haley's family history. Kunta Kinte is abducted from his African village, sold into slavery, and taken to America. He makes several escape attempts until he is finally caught and maimed. He marries Bell, his plantation's cook, and they have a daughter, Kizzy, who is eventually sold away from them. Kizzy has a son by her new master, and the boy grows up to become Chicken George, a legendary cock fighter who leads his family into freedom. Throughout the series, the family observes notable events in U.S. history, such as the Revolutionary and Civil Wars, slave uprisings, and emancipation.
Written by Eric Sorensen