Andrewsiphius was named by Sahni and Mishra (1975) [Sepkoski's age data: T Eo-m-l Sepkoski's reference number: 506,1022]. Its type is Andrewsiphius kutchensis. It was considered monophyletic by Thewissen and Bajpai (2009).

It was assigned to Agorophiidae by Sahni and Mishra (1975); to Protocetidae by Fordyce (1981); to Cetacea by Sepkoski (2002), Uhen (2005); to Andrewsiphiinae by Bajpai et al. (2011), Cooper et al. (2014), Marx et al. (2016); and to Remingtonocetidae by Kumar and Sahni (1986), Gingerich and Russell (1990), Benton (1993), Thewissen et al. (1996), McKenna and Bell (1997), Bajpai and Thewissen (1998), Williams (1998), Thewissen et al. (2001), Gingerich et al. (2001), McLeod and Barnes (2008), Thewissen and Bajpai (2009), Uhen (2010), Bebej et al. (2015), Gao and Ni (2015), Berta (2017).