The YouGov poll on behalf of dpa showed that 57 percent of respondents were in favour of Germany being the host of the Olympics.
Hamburg and Berlin have both stepped forward as potential hosts for the 2024 Summer Olympic Games. It is now up to the German Olympic Committee (DOSB) to decide which city's bid will move forward to the international ring.
If either city wins the bid, it would be the first time Germany had hosted the games in 52 years. Germany previously hosted in Munich in 1972 and in Berlin in 1936.
Of those surveyed, nearly half expected Berlin to win the DOSB's recommendation, while 28 percent supported Hamburg's bid. The remainder couldn't decide.
Internationally, Berlin is the favoured host of the two German bids, said the DOSB.
"All the surveys we've done show a clear majority support Germany as the host for the Olympic and Paralympic Games and we're glad. Only 24 percent of those we've surveyed are against it," said Bernhard Schwank, who recently took over the bid committee for the 2024 games at the DOSB.
The DOSB will announce in March 2015 whether they will be pressing ahead with Hamburg or Berlin's Olympic hosting hopes.
Italy announced on Monday that Rome would also be making a bid for the games.
The International Olympic Committee will make its own decision in 2017.