Today’s Software development cost estimation models are based on soft computing techniques as neural network, genetic algorithm, the fuzzy logic modelling etc. for finding the accurate predictive software development effort and cost estimation. Genetic Algorithm can offer some significant improvements in accuracy and has the potential to be a valid additional tool for software effort estimation. Genetic Algorithm is one of the evolutionary methods for the effort estimation. This paper focuses on the development of a framework for software cost estimation model in the design phase and variations of this model due to the public description of the algorithm, available data, as well as prior use and research by the research client by using object oriented software metrics. The framework will then be implemented for the development of a prediction model using Genetic Algorithm optimization techniques. Till date many developments have introduced various methods of cost estimation including the recent advances in the field. These were based on the effort, size, schedule and other. But here effort will be made to evolve a framework for cost estimation keeping in mind object oriented perspective. There are many sophisticated parametric framework for estimating the size, cost, and schedule of Object Oriented software project.