When it comes to movement and posture, perhaps one of the most important attributes of tensegrity that we can apply is that of sensitivity and instant responsiveness.
Tensegrity structures respond instantly (without any lag) to applied forces. That means that they are sensitive. How do we achieve this sort of sensitivity and responsiveness in movement and posture and why might we want to? Those questions and more are (hopefully) answered in the articles linked to on this page.
I've written a number of articles that relate to tensegrity. The central tenet is that the joints of our body act as tensegrity structures. You can read more about that in fluid tensegrity joint anatomy.
For a rather less long look at tensegrity check out this article: tensegrity. It's based on the notion that postures and movements don't have tensegrity (unless we give it to them, i.e. we create it).
How do we create movements and actions that have tensegrity? I try to answer that in tensegrity, motor control and proprioception. For more on this you might also want to read creating tensegrity in yoga poses. Another article in this vein is tensegrity basics.
A very simple way to think of tensegrity is that it is a balance between tension and space. I go over that in a bit more detail in space and tension.
Instead of looking at tensegrity you can look at how our joints are lubricated (and why they are lubricated) by muscle activation.
You can read about this in how muscles and joints work together.
Two other articles on tensegrity are articulated tensegrity systems and liberated tensegrity defined. This last article is how having joints that have tensegrity gives us the choice of whether or not (or when) we configure our body (or parts of it) to have tensegrity.
In closing of this section I should point out that the ability to imbue parts of the body with tensegrity and other parts not is one of the key attributes when playing tai ji.
One other article that is tensegrity related is this one: some problems with biotensegrity.