Recent advances of processing speed and window systems in computers, especially workstations, accelerate multi-media data processing (MMDP). Then, a variety of data such as numerics, characters, voice, video, animation and so on, are processed concurrently in a workstation. In data processings, concurrent execution of transactions is a key to improve through-puts. However, concurrent execution without concurrency control may cause inconsistent results. Thus, the concurrency control must be introduced in such systems. However, in MMDP it is ineffective to adopt previous concurrency control methods for ordinal databases since multi-media data are huge and possess a real-time property. This paper discusses concurrency control for MMDP. We propose some new concepts for MMDP, and define a new serializability class called Permissible Serializability which provides high concurrency in MMDP compared with ordinal classes. Then, we propose a concurrency control algorithm TYPE for the Permissible Serializability, and show some simulation results.