Compostable packaging is one of the innovative alternatives to conventional packaging. This is also an opportunity in view of the current energy crisis and rising oil prices, firstly, because compostable packaging is produced only from renewable resources, and secondly, it can feed both the composting process and biogas plants. According to the CE principles, it is vital to effectively close product life cycles. Therefore, this paper is aimed at expounding the triggering role of social innovations co-created by stakeholders for improving compostable packaging waste management in accordance with the CE concept. The research procedure consisted of four integrated research phases. A qualitive study was undertaken by conducting 29 in-depth interviews and 3 Social Innovation Labs, engaging 67 bio-packaging market stakeholders, which are national and international companies (e.g., manufacturing, distributing), institutions and other organisations from the social, public and private sectors. The results show that one of the key problems for the development of the CE compostable packaging market is the low level of compostable waste packaging management. Its detailed analysis showed that this problem is associated with several barriers and their numerous causes. According to stakeholders, this can be effectively minimised by applying three social innovations that when combined stimulate all elements of waste management, moving it to a higher level of development.