The Hōzōinryû as it is still practiced today stands in the tradition of the secular line of the Hōzōinryû Takadaha which is named after its founder Takada Matabee Yoshitsugu. As Hōzōin Kakuzenbō Inei was the founder of the Hōzōinryū he is of course listed as the first generation of the secular line as well.
The monastarial line:
Hōzōin Kakuzenbō Inei (founder of the Hōzōinryū)
Hōzōin Zeneibō Inshun
Hōzōin Kakushunbō Insei
Hōzōin Kakuzanbō Inpû
Hōzōin Jōshikibō* Inken
The secular line:
Hōzōin Kakuzenbō Inei (founder of the Hōzōinryū)
Nakamura Ichiemon Naomasa (founder of the Nakamuraha)
Takada Matabee Yoshitsugu (founder of the Takadaha)
Takada Matabee Yoshimichi
Takada Yoshitoshi
Takada Michiakira*
Takada Yoshitaka
Takada Matabee Yoshitora
Takada Matabee Yoshichika
Takada Magoichi Yoshitake
A certain Endō
Yamazato Tadahiro
Sasaki Yasuzō
Waku Kinzō
Ishida Kazuto
Nishikawa Gennai
Kagita Chūbee
Ichiya Junzō
Komakita Manabu
* Reading of the name is uncertain.