The SPON election trend was compiled online from November 20-21 in co-operation with the polling institute Civey.
The sample included more than 5,000 respondents.
The SPON election trend before the end of the negotiations took place in the period from November 12-19. That sample consisted of more than 10,000 respondents - the statistical error was 2.5 per cent.
The inability of Mrs Merkel to secure sufficient support has seen Germany plunged into uncertainty as she has been unable to establish a so-called Jamaica alliance with the Greens and the Free Democrats (FDP).
The situation has resulted in the co-founder of the Greens, Hans-Christian Ströbele, saying he could not envisage the chancellor staying in her role for much longer.
In an interview with Swiss website Watson, he said: "The end of the chancellorship of Angela Merkel has already been announced by the outcome of the general election.
"Now Merkel's political end can indeed come very quickly. In my opinion, Mrs Merkel will not be able to stay at the top of the government for much longer."
The veteran politician said his personal preference to solve the current crisis would be for the CDU to form a minority government, calling it "good for democracy".
He said: "It offers the opportunity to strengthen the importance of the parliament and the individual members of parliament - and with it also democracy.
"It is basically good for democracy, if a government has to seek majorities through persuasion in Parliament."