The West Ham loan signing suffered a hamstring injury during an impressive debut in his side's 3-0 win over Fulham on Saturday.
Manager Sam Allardyce said after the game it was unlikely Carroll would be able to join up with the England squad.
The FA have confirmed that, although no decision will be made about replacements until after Sunday's three Premier League games have been played.
"West Ham United forward Andy Carroll has withdrawn from the England squad to face Moldova and Ukraine," said the FA in a statement.
"After picking up an injury in the match against Fulham, Carroll will not be part of the squad for England's opening FIFA World Cup qualifying matches next week.
"Any decision on whether to call additional players into the squad will not be made until after the three fixtures on Sunday have been completed."
Bayern Munich are kings of Germany and hope to be crowned kings of Europe at Wembley later this month!
adidas has added some color to the Predator line with this new colorway. Released on May 17. Be the first to own a pair.
The Juventus jersey for the 2013/14 was released earlier this week. Be the first to wear the colors of the Old Lady.
The new PUMA evoSPEED 1.2 FG. A great new soccer cleat with classic look and first time for PUMA to be on the cleat.
One of the top soccer cleats for control the Nike CTR360 will not let you down on the field in tight spaces.
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The adidas Nitrocharge is the most talked about new cleat in years. It was released on May 15 and will take your pitch by storm.
Ajax has released their away soccer jersey for the 2013/14 season. Get in the Gear.
Chelsea won the Europa League on Wednesday. The Blues defeated Benfica 2-1 on injury time goal from Ivanovic.