Does Eastern Orthodoxy approve the use of contraception? This subject is clear when it comes to Catholicism who explicitly forbids contraception and encourage natural family planning.
Then most protestants do not forbid the use of contraception.
However when it comes to Eastern Orthodoxy, it seems that there is a smoke in the air, and nobody has a clear position. Orthodox Christians don't have a central catechism like the Catholic Church does, so that only further complicates things.
Does Eastern Orthodoxy have a position at all when it comes to contraception?
(My guess would highly be that they forbid it.)
According to the Orthodox Church In America contraception is only permitted when danger or hardship would come to the family as a result of birth of a child as seen here on their website 


  The voluntary control of birth in marriage is only permissible, according to the essence of a spiritual life, when the birth of a child will bring danger and hardship. Those who are living the spiritual life will come to the decision not to bear children only with sorrow, and will do so before God, with prayers for guidance and mercy. It will not be a decision taken lightly or for self-indulgent reasons.
  According to the common teaching in the Orthodox Church, when such a decision is taken before God, the means of its implementation are arbitrary. There are, in the Orthodox opinion, no means of controlling birth in marriage which are better or more acceptable than others. All means are equally sad and distressing for those who truly love. For the Christian marriage is the one that abounds with as many new children as possible.