Around 1,500 trust leaders, trustees, and policy makers will also hear suggestions of how they can embrace "next-gen governance" to ensure education in England continues to improve.
The calls are contained in two new reports being published at the event, taking place in Birmingham today and tomorrow.
The conference will also hear keynote sessions from Secretary of State for Education Rt Hon Bridget Phillipson MP, His Majesty's Chief Inspector of Schools Sir Martyn Oliver, and Children's Commissioner for England Dame Rachel de Souza.
Speakers from outside education include multi-Olympian Sir Mo Farah CBE and scientist and broadcaster Dame Dr Maggie Aderin-Pocock MBE.
More than 40 workshop sessions will cover all aspects of school life, and reflecting the conference's theme of Building as the sector marks the majority of schools and majority of pupils being within school trusts for the first time.
In a joint report between CST, the Church of England, and the Catholic Education Service, the three organisations call for trusts to adopt "10 seeds" to help both adults and children flourish in schools. Between them, the three organisations bring together the overwhelming majority of schools in England.
The areas identified include working towards eradicating child poverty, giving priority to the voices of children and young people, reforming school accountability, broadening training and careers opportunities for school staff, and ensuring staff are able to flourish.
The Flourishing together report says: "Our education system needs a clear and compelling narrative around which to build over the coming years and decades.
"A collective purpose, a shared vision and a uniting concept towards which we focus our time, resources, leadership, energy, expertise and wisdom. A generous, hospitable table to which all are invited and at which everyone feels welcome. A shared vision which begins with a core belief in the inherent worth of every child and adult in the system.
"We believe our political leaders, schools and school leaders have a foundational question in common – how do children and young people, and those who educate them in our schools flourish?"
Also being published at the conference - which coincides with the national Trustees Week campaign - is CST's Next-gen governance report.
The report is based on CST's extensive experience carrying out external reviews of governance for school trusts, and contains a series of practical ideas for trusts to improve how their organisations are run.
The report calls for trusts to move from a compliance mindset to one that is more focused on strategy.
It also advocates changes to the traditional approaches to reports and meetings to help encourage a wider range of people to get involved in trust and local governance, so that trusts benefit from the full skills and experiences of their local communities.
The report says: "Discovering next-gen governance is about examining our current practice and, where necessary, evolving it. It is a nuanced, modern approach to governance that is more about people than compliance.
"Our boards and local governance rely on volunteers; while motivated by duty, we still owe it to them to make it rewarding, even enjoyable. This new form of governance can help with retention and attract the next generations into governance.
"Together, this will ensure we do not miss out on the diversity of perspectives crucial to the future success of trusts."
CST's annual conference is the biggest gathering of school trusts leaders in the country, and is a key event in the education calendar.
As the national membership organisation for school trusts, CST also runs a network of targeted professional communities covering key roles in education with their own dedicated community conferences.
