Organizational health is when your management, culture, and structure align.
This is no easy task.
Your management need to not only understand the organizational culture that exists below them but operate in a way that keeps it healthy.
The culture will be disrupted every time members of the organizations community change. Do you recruitment and promotion criteria support people who fit the values of your organization?
The structure, both physical and hierarchical, need to support all of the above.
To many organizations are grown and built on the fly.
Healthy organizations are often by design.