I'm sorry, but there doesn't seem to be any specific organization called "The National Association in Black history." However, there are several prominent organizations in Black history that have made significant contributions to preserving and promoting Black heritage and culture. These include:

1. The National Association for the Advancement of Colored People (NAACP): Founded in 1909, the NAACP is one of the oldest and most influential civil rights organizations in the United States. It works to ensure political, educational, social, and economic equality for all people and to eliminate race-based discrimination.

2. The Association for the Study of African American Life and History (ASALH): Founded by historian Carter G. Woodson in 1915, ASALH is dedicated to promoting the study and understanding of African American history and culture. They are best known for establishing Black History Month in February.

3. The National Black United Front (NBUF): Established in 1980, NBUF is a grassroots organization that focuses on addressing issues affecting Black communities in the United States. They work to promote unity, self-reliance, and empowerment among Black people.

These organizations, among others, have played vital roles in advancing Black history and promoting the achievements and struggles of African Americans throughout history.