In the ARINC653, that is a standard specifying the partition model for modular avionic software architecture, partitions independently use deterministic CPU time-slots and separated memory spaces without interference. In the conventional "Federated Model", all applications run on a distributed system. But the partition model aims at reduced cabling by running partitions on a multi-processor. In this paper, a new partition model named TMO.p that is an extension of the well known real-time object model TMO is proposed. And also, descriptions of the developed real-time scheduler for the TMO.p are given. The scheduler for TMO.p has been implemented inside of the RT-eCos that is a kernel for the TMO model based on the open source eCos3.0. Although the API of the system is not exactly same as the APEX of the ARINC653, it supports the partition computing based on the real-time characteristics of the TMO. So the TMO.p system can be used meaningfully in developing real-time avionic softwares.