Near the end there was a heavy shake and the cabin tilted sharply to one side. After further screams the video ended, said the paper.
The footage appeared to have been taken from near the back of the plane but no individuals could be identified, said Bild.
French magazine Paris Match also ran a story on the video and printed an account of a conversation between the two pilots, according to a "special investigator".
When the captain left the cockpit to go to the toilet, he told Lubitz that he was in control. "I hope so", Lubitz replied, according to the magazine.
Later the captain implored Lubitz to let him in.
Lufthansa said on Tuesday that Lubitz had told officials at the airline's training school in 2009 that he had gone through a period of severe depression, raising questions about the screening process for pilots.
Prosecutors have said he suffered from "suicidal tendencies" before obtaining his pilot's license.
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