In principle, birth control is permitted, so long as the couple is committed to eventually fulfilling the mitzvah to be fruitful and multiply (which, at a minimum, consists of having two children, one of each gender).
The issue in birth control is not whether it is permitted, but what method is permitted. It is well-established that methods that destroy the seed or block the passage of the seed are not permitted, thus condoms are not permitted for birth control. However, the pill and IUD are acceptable forms of birth control under Jewish law.