On at least one occasion, the Hitler double was photographed in front of the house where the dictator was born, while there were also reported sightings Vienna and Graz.
The daily newspaper Oberoesterreichische Nachrichten said on Saturday the man had been seen outside the house in which Hitler was born and in a local bookstore browsing through magazines about World War Two.
According to local media reports, the copycat introduced himself to patrons as "Harald Hitler" and insisted on being served "Austrian mineral water".
The lookalike had recently moved to the town on the German border, police spokesman David Furtner told the BBC. Other pictures of him standing in a Braunau pub dressed in traditional garb including a loden jacket and lederhosen, were also spotted online.
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A man who dresses as Adolf Hitler has been arrested on charges of glorifying the Nazi era.
The house itself is the object of a legal squabble between its owner and the Government, which wants to take possession and remodel it to erase all associations with Hitler.
Glorifying the Nazi era is a crime in Austria.
However, the retired women then filed a complaint with the Austrian Constitutional Court on January 31, disputing the lawfulness of the parliament's decision. In October, the authorities announced their plans to demolish the house to prevent neo-Nazis from visiting the site to pay homage to the Nazi dictator.