Depends, which boycott are we talking about? I'm guessing you are talking about the Montgomery Bus Boycott
The Montgomery Bus Boycott was a civil-rights movement in the 1950's where African Americans refused to ride city buses because of segregated seats. It started because of a woman named Rosa Parks who refused to give up her bus seat to a white man who had boarded the bus. She was arrested for this, and this sparked the boycott. Martin Luther King Jr. lead this movement and made it to Supreme Court, ruling that segregated buses were unconstitutional, and the boycott ended successfully.
Hope that helped :)