Praise be to Allah.
The answer to your question is found in the following three points:
Giving birth is the right of both husband and wife, and neither one of them has the right to deprive the other from doing so.
It is prohibited to take any measure which would permanently prevent pregnancy, or cause infertility. It is permissible, however, to use temporary birth control methods to delay pregnancy, as in the case of delaying pregnancy for the two years of breast feeding the first child.
It is prohibited to use any birth control method which would harm the body, as the Prophet said: "Do not (impose) harm, nor (inflect) harm". He also said: "And your body has a right upon you".