The Luzhniki Stadium will also be the host for next season's Champions League final, which will be played on grass.
England, who are fourth in Group E, meet Russia at Wembley on 12 September before October's Moscow return which could be decisive.
But England coach Steve McClaren is reported to be relaxed about playing on an artificial surface.
"An FA delegation travelled to Moscow earlier this week and we understand the match will be played on an artificial surface," said an FA spokesman.
"Steve McClaren is aware of this and is looking forward to preparing accordingly."
McClaren is aided by the fact his two preferred training grounds, Manchester United's Carrington complex and Arsenal's London Colney, both have synthetic surfaces, although the Gunners' is indoors.