The babies, females Jumina and Lin and males Baz, Chaka and Sab were born two months ago, but could only be shown off at the Neuwied zoo today because their immune systems weren't strong enough earlier.
The zoo said in a statement that mother Zari has taken "exemplary" care of her offspring.
Barbary lions, which roamed the Atlas mountains in northern Africa, have been extinct in the wild for about 100 years. The zoo says that there are only around 90 to 100 animals in zoos around the world.