Eustreptospondylus was named by Walker (1964). It is not extant. It is the type genus of Eustreptospondylinae.

It was synonymized subjectively with Magnosaurus by Yates (2005).

It was assigned to Streptospondylidae by Kurzanov (1989); to Carnosauria by Molnar et al. (1990); to Avipoda by Novas (1992), Pérez-Moreno et al. (1994); to Torvosauridae by Sereno et al. (1994), Molnar et al. (1996), Sereno (1997), Sereno et al. (1998); to Tetanurae by Holtz (1995), Holtz (1996), Holtz (2000), Carrano et al. (2002); to Eustreptospondylidae by Mateus (2006); to Spinosauroidea by Allain (2001), Sadleir et al. (2004), Sadleir et al. (2008); to Megalosauria by Carrano et al. (2012); to Megalosauridae by Walker (1964), Romer (1966), Colbert and Russell (1969), Osmólska and Roniewicz (1970), Steel (1970), Anonymous (1983), Welles (1984), Martill (1988), Carroll (1988), Currie and Zhao (1994), Gao (1999), Hanson and Makovicky (2013), Hendrickx and Mateus (2014); to Eustreptospondylinae by Paul (1988), Bakker et al. (1992), Holtz et al. (2004), Rauhut et al. (2016); and to Afrovenatorinae by Rauhut et al. (2018).