With the current growth of software development, plan and manage well the development practices become vital for effective coordination of a software project. Within this context, the estimation process presents as basis for achieving a good planning and control of these projects. So, more accurate estimates mean a better planning, and with this the project will take less risks. On the other hand, bad or inaccurate estimates increase the risks which the planning takes on and this may lead to large losses for the project or until its cancellation. However, there are few sources which provide guidelines on how to perform and manage the estimation process, further hindering their use. Then, in order to fill this gap, this work proposes a Framework called GAIA Estimation aiming support the management of the software estimation process through maturity levels and services.Thus establishing a gradually and incrementally way to implement and assess the software estimation practices inside the organizations.