Title VII of the Civil Rights Act of 1964 prohibits employment discrimination based on religion. What is the federal law relating to religious dress and grooming in the workplace?Title VII of the Civil Rights Act of 1964 prohibits employment discrimination based on one's religion. Civil Rights Act of 1964 (Title VII) Prohibits discrimination in employment on the basis of an individual's race, color, religion, sex, or national origin. Under Title VII, employers must accommodate employees' religious beliefs or practices, unless doing so would amount to undue hardship for the employer.