Police are ushering refugees and migrants freely through the Danish ferry port of Rodbyhavn and on their way to Sweden.
It comes after days of chaos.
Ferry services were suspended and a motorway closed as the authorities tried to stem the influx coming over land from Germany.
Some were driven to the Swedish border by private individuals using their own cars.
“When people come to Denmark, it is because the authorities right up to the Danish border have not registered them” Danish Prime Minister Lars Loekke Rasmussen told reporters. “I have in this respect nothing to blame the German authorities for; they are also under exceptional pressure. Migrants have the opportunity to seek asylum, Denmark is a safe, secure and good country to live in.”
People have come by ferry and overland by train from Germany.
An estimated 3,200 have arrived in Denmark since Sunday.