In Cloud Computing, Service Level Agreement (SLA) is a contract that defines a level and a type of QoS between a cloud provider and a client. Since applications in a Cloud share resources, we propose two tree-based distributed mutual exclusion algorithms that support the SLA concept. The first one is a modified version of the priority-based Kanrar-Chaki algorithm [1] while the second one is a novel algorithm, based on Raymond algorithm [2], where a deadline is associated with every request. In both cases, our aim is to improve Critical Section execution rate and to reduce the number of SLA violations, which, for the first algorithm represents the number of priority inversions (i.e. a higher priority request is satisfied after a lower one) and for the second one, the number of requests whose deadline is not respected. Performance evaluation results show that our solutions significantly reduce SLA violations avoiding message overhead.