The 31-year-old has been unattached since terminating his contract with Dutch Eredivisie side Vitesse Arnhem last year December.
Kingston was prevented from playing for local side Heart of Oak which failed to secure his International Transfer Certificate in January.
He moves increases the rank of Ghanaian players at the club to four in addition to Ibrahim Basit, James Bissue and Ibrahim Abdul Razak.
Kingston claims he has the strength to play top flight football.
“I’m looking fresh, feeling good and I have six more years of football in me. With the advantage of the experience I have had throughout Europe in my career, I think this is the right time to be focused and get the club benefit from me,” Kingston told Accra-based Joy FM.
Kingston played for Israeli sides Maccabi Ahi Nazareth and Hapoel Tel Aviv between 2003 and 2004.
Be’er Sheva finished 9th in the 2010/2011 Israeli Premier League.
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