"At this point no ignition device has been found", they said.
As German authorities brace for another possible attack, the popular Christmas market in Potsdam was evacuated after a suspicious package containing wires and electronics.
Police evacuated a large area of Potsdam's old town center on Friday, including parts of the market, and closed stores while they investigated the package, which had been delivered to a pharmacy.
The controlled defusing of the suspicious object was later successfully conducted by the special forces of the German Federal Police in Berlin and Brandenburg.
However, police warned of speculation on Twitter and told people to avoid "premature conclusions".
Brandenburg police also said that the lockdown in the area near the Christmas market remains in place and that the investigation is still ongoing.
Christmas markets opened across Germany on Monday at the start of the holiday season, fortified with concrete barriers and security staff to protect shoppers.
An Islamic extremist killed 12 people when he drove a truck into crowds.
Germany is on high alert for potential terrorist attacks almost a year after a Tunisian Islamist hijacked a truck, killed its driver, and rammed the vehicle into a Christmas market in nearby Berlin, killing 11 more people there.
The package, deposited outside a drugstore, was rendered harmless by police on Friday, according to a tweet from police in Brandenburg, the state of which Potsdam is the capital.