The ruling was a significant victory for the Fearless Fund, which has become symbolic of the fight over corporate diversity policies.

The Rev. Al Sharpton outside the Richard B. Russell federal courthouse in Atlanta on Tuesday.

ATLANTA — A federal judge in Atlanta ruled Tuesday that a venture capital firm can continue offering a grant program only to Black women entrepreneurs, saying a lawsuit arguing it illegally excluded other races was not likely to succeed.

Senior U.S. Judge Thomas Thrash denied a preliminary injunction that would have blocked the grants by the Atlanta-based Fearless Fund. The judge issued the decision in court after hearing arguments from attorneys and said he planned to issue a written order by the end of the week.

The Fearless Fund is a tiny player in the approximately $200 billion global venture capital market, but Tuesday’s ruling was a significant victory for the firm, which has become symbolic of the fight over corporate diversity policies. The lawsuit against it could be a test case, as the battle over considerations on race shifts to the workplace following the U.S. Supreme Court’s June ruling ending affirmative action in college admissions.

The injunction was sought by the American Alliance for Equal Rights, a nonprofit founded by anti-affirmative action activist Edward Blum, the man behind the admissions cases the Supreme Court ruled on in June.

Blum said the alliance plans to appeal the decision.

“Our nation’s civil rights laws do not permit racial distinctions because some groups are overrepresented in various endeavors, while others are under-represented,” he said in a statement.

The fund’s founders rallied with the Rev. Al Sharpton outside the courthouse after the decision.

“We will continue to run the nation’s first venture capital fund that is built by women of color for women of color,” Fearless Fund CEO and co-founder Arian Simone told a crowd of supporters.

The alliance argues in a lawsuit that the fund’s Fearless Strivers Grant Contest, which awards $20,000 to Black women who run businesses, violates a section of the Civil Rights Act of 1866 prohibiting racial discrimination in contracts. It says it has members who are being excluded from the program because of their race and said it’s entitled to relief.