Prosecutors say he lured the women, aged 21 and 22, off the trail before sexually attacking the younger one.
Neuschwanstein Castle - in Germany’s southern Bavaria state - is one of the country’s most popular tourist attractions.
Situated about 126km (78 miles) from Munich, it was built in the 19th Century and intended to serve as a residence for the rulers of the region, but was never occupied.
The prosecutors at the nearby town of Kempten say the attack happened on 14 June, shortly after the suspect met the two women near the Marienbrücke bridge - a popular viewpoint used by tourists to view the castle.
The suspect then “forcibly brought the 21-year-old to the ground to undress her and perform sexual acts on her”, the prosecutors said.
Another American tourist, who witnessed the rescue and arrest, told the Associated Press news agency that the suspect had scratches across his face as he walked with police.
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