This study proposed model of writing space for system supporting composition education in hypertext environment considering new instruction-learning environment. First, I explained characteristics and moving structures of hypertext. It is basic discussion to be necessary for searching content and method of composition education. And I explained how it has meaning in composition education. Hypertext is the whole of vervel and non-vervel text having network structures that nodes is connected with link. Hypertext has to have web structure to be used within composition education. This study investigated composition process based hypertext to divide it four course planing, researching, composing, revising. Planing is the step to know task, choose knowledge and strategy, and make whole plan of composition. Researching is the step to understand, interpreter, and research content needed on basis of cues in planing step. Composing is the step to product text practically. Revising is the step to check a draft, revise it, and edit it on basis of situation. Regulation is the course controlling and checking composition process, and making meaning web connected. Hypertext system supports to process thinking immediately and move composition steps easily. Model of composition space is one of the these programs, it is concept-map that support writing process with design of materials, knowledge, strategy. composition space consists of called 'plan space', 'organization space', 'materials space', 'writing space', 'interaction space'. Plan space supports writer to know task accuracy and plan writing. 'Organization space' supports writer to make a model of text and make organizer-map. 'Materials space' supports writer to investigate and use various materials. 'Writing space' supports writer to make and revise text. 'Interaction space' supports writer to exchange think and own in common text with others. Writer knows the knowledge and strategy that can use in writing process using these spaces.