Because of special constraints in production processes, multi-products and multi-stages production, high setup cost and setup time, high expectation costs to produce and maintain of semi-final products, also not miss customers in today competing market, steel industry production planning is one of the most complex problems in production planning. On the other hand in steel and iron production plants it is essential that production be continuous and operation in most parts not be cut out. This fact increases the complexity very much. Designing different planning and time scheduling models for steel industries shows the importance of the problem. In steel industries hot rolling zone is middle zone and get the required products from steel making area, after processing give it to the next zone. In most steel plants production is based on customer order. Products, are allocated to orders before hot rolling with considering some constraints. Allocating products to orders have some costs. On the other hand minimizing delay in orders delivery is the second objective of planning problem in hot rolling. In this research daily planning problem in hot rolling is introduce and suitable mathematical formulation to this model is presented. This model is a lot sizing problem with multi-stage, multi products and single level conditions. Objective of this model is minimizing allocation cost and costs of tardiness and earliness in order delivery. To solve large scale problems, a meta-heuristic method based on multi-objective decision procedure is presented. Two other multi-objective methods are introduced for numerical comparison and presented method is compare with them. Effectiveness of this method in the problem is showed with numerical results.