I am married with three children. My wife and I have decided not to have additional children primarily due to health concerns. Generally speaking Muslim jurists do not permit any permanent method of preventing pregnancy, neither for females nor for males. Temporary pregnancy control is allowed in Islam.
Permanent sterilization is permissible only in the case of some serious health problems.
If for some serious reasons, doctors recommend that a husband should not impregnate his wife, then he is allowed to have vasectomy. Similarly, if a woman has some incurable disease, and if further pregnancy is injurious to her health or to the health of her fetus, and temporary contraceptive methods are not suitable or reliable, then she is also allowed to have permanent sterilization.