The correct answer to this open question is the following.
Although the question is incomplete because it does not mention what kind of movement it is referring to, we can assume that it's about the African American civil rights movement in America.
During these movements since the 1890s, there have been legal cases through the judicial branch of government that were used to advance voting and civil rights.
Among the most important cases in this regard, we find the Plessy v. Ferguson of 1896, Brown v. Board of Education of Topeka, Kansas of 1954, Bailey v. Petterson of 1962, and Swan v. Charlotte Board of Education f 1974.
These legal cases were part of the role of the US Supreme Court in a long fight from African Americans' end race segregation laws to be included as normal citizens with rights and obligations. This process also had is sad moments of aggression and violence, but the decisions of the judicial branch somehow facilitated the changes for more real inclusion.