But results released Thursday also indicate most Americans support a program that gives people in the United States illegally an opportunity to become citizens.
Fifty-eight percent of those polled said they supported the Arizona law while 41 said they did not.
Results indicated a widespread perception the federal government wasn't doing enough to prevent illegal immigrants from entering the country, pollsters said. Overall, 75 percent of those polled blamed border enforcement; 83 percent support deploying National Guard troops to the U.S.-Mexico border.
Race played heavily in responses, results showed. Sixty-eight percent of whites back the law, compared with 31 percent of non-whites.
While a majority of Americans back the Arizona law, 57 percent said they support a plan that would offer illegal immigrants already in the United States a path to citizenship if they if they pay a fine and meet certain requirements, the Washington Post-ABC News poll said.
The nationwide telephone poll sampled 1,004 adults June 3-6. The margin of error was 3 percentage points.