African Americans and Hispanic Americans used different forms of nonviolent protest in order to advocate for equal rights. An example of this would be boycotts. The goal of these boycotts was to stop doing a certain action (like riding segregated buses for African Americans) in hopes that this would cause the person/organization to change their policies.
Another example is marches. Marches on important cities (like Washington DC) were meant to represent solidarity and resulted in speeches being given by leaders of these movements in order to incite change.