This paper deals with the problem of optimum design of reinforced concrete flat slabs by genetic algorithm. Four case studies are discussed; flat slabs with and without edge beams, and, flat-plate with and without edge beams. The cost function represents the cost of concrete, steel reinforcement, and formwork. The design variables are: the effective depth of the slab, dimensions of drop panel, the area of flexural reinforcement at the critical sections of slab, and of edge beams. The constraints are taken on slab dimensions, and area of steel reinforcements. The results showed that the optimum ratio of (effective depth /span length) are within the ranges (1/39-1/27) for flat slabs without edge beams, (1/43-1/30) for flat slabs with edge beams , (1/30-1/23) for flat-plate without edge beams and (1/35-1/25) for flat-plates with edge beams. It is also found, that for same span length, the flat slab without edge beams is more economical slab types.