Zoltan L. Hajnal, Nazita Lajevardi and Lindsay Nielson for The Monkey Cage:

When we compare overall turnout in states with strict ID laws to turnout in states without these laws, we find no significant difference. That pattern matches with most existing studies. But when we dig deeper and look specifically at racial and ethnic minority turnout, we see a significant drop in minority participation when and where these laws are implemented.

Hispanics are affected the most: Turnout is 7.1 percentage points lower in general elections and 5.3 points lower in primaries in strict ID states than it is in other states. Strict ID laws mean lower African American, Asian American and multiracial American turnout as well. White turnout is largely unaffected.

These laws have a disproportionate effect on minorities, which is exactly what you would expect given that members of racial and ethnic minorities are less apt to have valid photo ID.