After Parker, 1982, "The Tree of Life", and Grimaldi & Engel, 2005 (based on Willmann, 2003)

<==o Phasmatodea sensu lato [Phasmida; Cheleutoptera; Holophasmatodea sensu Grimaldi & Engel, 2005] (kummitussirkat, sauvasirkat; walking sticks and leaf insects)
   |--+-- †Prochresmodidae
   |  `-- †Xiphopteridae
   `--+-- †Cretophasmatidae
      `--+-- †Durnoraria
         |-- †Aeroplanidae
         `--+-- †Chresmodella
            |-- †Baissophasma
            `--+-- †Aerophasmatidae
               `--+-- †Hagiphasmatidae
                  `--+-- †Coniphasma
                     `--o Phasmatodea sensu stricto
                        |--o Timematodea
                        |  `--o Timematidea
                        |     `--o Timematoidea
                        |        `--o Timematidae
                        |           `-- Timema
                        `--o Euphasmatodea [Euphasmida]
                           |?- †Electrobaculum gracilis Sharov
                           |?- †Pseudoperla gracilipes Pictet
                           |?- †Pseudoperla lineata Pictet
                           `--+-- Phylliinae
                              |--+-- Dajaca
                              |  `-- Aschiphasminae
                              `--+--o Bacillidea
                                 |  `--o Bacilloidea
                                 |     |-- Bacillidae
                                 |     `-- Bacunculidae [Pseudophasmidae]
                                 `--o Phasmitidea
                                    |--o Necroscioidea
                                    |  |-- Necrosciidae
                                    |  |-- Heteronemiidae
                                    |  |-- Lonchodidae
                                    |  |-- Pachymorphidae
                                    |  `-- Palophidae
                                    `--o Phasmatoidea
                                       |-- Bacteriidae
                                       `-- Phasmatidae

Reference(s):