The report was based on data from polls done between 2011 and 2013, Gallup said.
Racial differences are, for the most part, fairly small, Gallup said. For example, the military is the most trusted institution on the list with 79 percent of whites and 72 percent of non-whites saying they have confidence in it.
Whites also have more confidence in the military, police and small business. But they have less trust in a wide range of institutions from the Supreme Court to newspapers to churches.
One of the biggest differences in racial attitudes is that towards the presidency, with 54 percent of non-whites and only 29 percent of whites having confidence in the institution. That appears to be explained by attitudes towards President Obama, the nation's first black president.
Blacks and Hispanics tend to have similar attitudes, although Hispanics are more likely to trust the police and courts.
Gallup published a similar report on polls from 2004 to 2006. It found overall white confidence in institutions dropped 7 percentage points during that time while non-white confidence increased by 2 points.