The camera was found on the western shore of Süderoog, a small German island in the Wadden Sea.
Holger Spree and Nele Wree, two coastal protection officers and the only inhabitants of the island, discovered the camera.
They found a few recordings still in tact, and uploaded a clip from 1 September 2017 online.
The recording shows a young boy of around 10 to 12 years of age playing on a beach with a girl, possibly his sister.
The camera then shows seaweed before being swept away by the incoming tide.
The pair uploaded the footage to the Süderoog Facebook page in the hope that the owners of the camera will recognise the scene.
According to the Guardian, an officer of the German Maritime Search and Rescue Association (DGzRS) saw the post and contacted the Royal National Lifeboat Institution for help. One of their officers recognised the area as that of the Flamborough Cliffs near Thornwick Bay in east Yorkshire.
They then used a computer programme to calculate the location as the origin of the camera.
Christian Stipeldey, a spokesman for the DGzRS, said: "Of course it's possible that the people in the film are not from east Yorkshire at all, but a family from Scotland or southern England on a holiday.
"What a shame it would be if the camera is never returned to its rightful owner."
He added: "Our hope is that the boy can be reunited with his camera in time for Christmas – that would be a happy ending."
The couple who found the camera are organic farmers who also maintain coastal defences and run a Facebook page about life on Suderoog.
According to the Yorkshire Post, access to the 150 acre island, which is a nature reserve for birds, is only possible via guided tours.