In this work, we present an argumentation-based formalization for supporting the process of formation of intentions in practical agents. This is based on the belief-based goal processing model proposed by Castelfranchi and Paglieri, which is a more expressive and refined model than the BDI (Beliefs-Desires-Intentions) model. We focus on the progress of goals since they are desires until they become intentions, including the conditions under which a goal can be cancelled. We use argumentation to support the transition of the goals from their initial state until the last one. Our proposal complies with both supporting relation properties defined by Castelfranchi and Paglieri, diachrony and synchrony. The former means that the support happens since the goal is a desire until it becomes an intention, and the latter that the support can be tracked, i.e. there is a memory of the cognitive path from the beginning of the process until the end. In this work, we present an argumentation-based formalization for supporting the process of formation of intentions in practical agents. This is based on the belief-based goal processing model proposed by Castelfranchi and Paglieri, which is a more expressive and refined model than the BDI (Beliefs-Desires-Intentions) model. We focus on the progress of goals since they are desires until they become intentions, including the conditions under which a goal can be cancelled. We use argumentation to support the transition of the goals from their initial state until the last one. Our proposal complies with both supporting relation properties defined by Castelfranchi and Paglieri, diachrony and synchrony. The former means that the support happens since the goal is a desire until it becomes an intention, and the latter that the support can be tracked, i.e. there is a memory of the cognitive path from the beginning of the process until the end.