The act that banned segregation in public places was

The Civil Rights Act of 1964

b. The Voting Rights Act of 1964

The Civil Rights Act of 1965

d. The Voting Rights Acts of 1965

The Act that banned segregation in public places was "The civil Rights Act of 1964"

Explanation:

Signed into law, on July 2, 1964, the Civil Rights Act of 1964 outlawed segregation in businesses such as theaters, restaurants, and hotels. It banned discriminatory practices in employment and ended segregation in public places such as swimming pools, libraries, and public schools.