The poll conducted by Time/CNN said if Bush were to run against former NATO commander and Democrat hopeful Wesley Clark, he would win by 49% to 42% of the votes.
A hypothetical contest against Massachusetts Senator John Kerry, would give Bush an even greater victory - 49% to 41%.
The sitting president would win 52% to 39% against former Vermont governor Howard Dean.
Saturday's poll, however, showed Dean to be leading the pack of nine Democratic hopefuls fighting for a party nomination to challenge Bush in the next elections.
Dean was said to leading with 14% of the Democratic vote, followed by Clark with 12% support.
The survey of 1300 registered voters had a margin of error of 2.7% points.