The vascular plants (Phylum Tracheophyta, Superphylum Embryophyta) are characterized by the presence of vascular tissue that consists of xylem, concerned mainly with the conduction of water and dissolved minerals, and phloem, which functions mainly in the conduction of foods, such as sugar (Encyclopaedia Britannica).

A summary of the phylogeny of the tracheophyte clade is shown below:
Figure 1. ​ Summarized phylogenetic tree of the vascular plants
​The following pages present phylogenetic trees that illustrate the history of development of each stem group within the crown-Tracheophyta. If we summarize and combine these data, we can construct a phylogenetic time tree for the entire tracheophyte tree up to the seed plants. All of the time trees presented in this website were created using the  R packages "strap" (Bell and Lloyd, 2015) or "paleotree" (Bapst, 2012). The following tree, constructed using a minimum branch length of 2 million years in the  paleotree package, illustrates how the successive stem groups of the internal nodes of the tree relate to one another through geological time. For simplicity, each stem group is represented by the oldest known member of that stem group:
​Figure 2. Summarized phylogenetic time tree of the basal vascular plants
Note that  many of the terminal nodes of the tree are represented by total groups rather than stem groups.  The reason for this is that no stem-group fossils are known for those nodes.

Reference

​Bapst, D. W. (2012). paleotree: an R package for paleontological and phylogenetic analyses of evolution. Methods in Ecology and Evolution, 3(5), 803-807.
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​Bell, M. A., & Lloyd, G. T. (2015). strap: an R package for plotting phylogenies against stratigraphy and assessing their stratigraphic congruence. Palaeontology, Vol. 58, No. 2, pp. 379-389.