Properties of woody crown networks of Cenostigma pyramidale (Tul.) Gagnon & G.P.Lewis (Leguminosae - Caesalpinoideae) growing under natural conditions in Caatinga vegetation area. The data are useful in plant ecophysiology, plant functional ecology by researchers investigating the woody crown traits. We obtained the data directly from a skeletonized representation of the woody crown in a two-dimensional space by hand drawing. Subsequently, the nodes counted, and their proportions (decomposition), the distances between the different types of nodes (topology), and the values of network properties (the combination of decomposition and topology) were obtained.