Ascension is the name of several ships
HMS Ascension, British Royal Navy shipname
HMS Ascension (K502), Colony-class frigate, formerly USS Hargood PF-74
MV Ascension, cargo and container ship, U.S.-flagged and Turkish-built, formerly MV Chekov
Fictional
Project Ascension, project to create and use Orion-class spaceships from Ascension (TV series)
USS Ascension, fictional spaceship setting from Ascension (TV series)