Cole, 22, has agreed a two-and-a-half year deal at the Silverlake Stadium, having joined Staines from Barnet in February 2016.
Eastleigh have also announced that Tyler Garratt's loan from League Two leaders Doncaster Rovers has been extended until 29 April.
The 20-year-old left-back has scored once in five matches for Eastleigh.
The Spitfires are 13th in the National League and travel to struggling Guiseley on Saturday.
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National League Eastleigh have signed defender Chinua Cole from Isthmian League side Staines Town.