In a national survey conducted by The Hill of 1,000 likely voters, 54 percent said tours of the White House should continue, while 28 percent said they shouldn't, the Washington publication reported Friday.
About 18 percent were undecided.
The tours cost the Secret Service about $74,000 a week. White House officials have said the Secret Service ended the tours to avoid furloughs stemming from sequestration.
Since the White House announced the tours would end, President Obama has said officials are studying ways to resume tours for school children.
The poll, conducted Thursday, has a margin of error of 3 percentage points.