Rotary combustion device (1) with rotary combustion chamber (4). Specific measures are taken to provide ignition of a combustible mixture. It is proposed that a hollow tube be provided coaxially with the axis of rotation (6), so that a small part of the mixture is guided into the combustion chamber. At the position of said axis of rotation (6) the mixture is ignited (8), and said ignition extends to the combustion chamber (4). For stabilization of the flame in the combustion chamber flame stabilization means (17, 27, 37, 47, 57, 67) are used. The flame stabilization means can comprise heat distribution means, (37, 47, 57) such as spokes, ribs, scales and the like. It is also possible to supply external heat (17). Another option is to provid...