Yes. Pregnancy is safe for both mother and child. 

MS does not hinder a woman’s chance of becoming pregnant or of carrying a child to full term. In fact, pregnancy is typically associated with a remission of MS, especially in the second and third trimesters.  However, the six months after the baby is born are associated with a slightly higher risk of a relapse. Overall, the effect of pregnancy on a woman's MS may be slightly protective.

Children with a parent with MS have a slightly increased chance of developing MS in their lifetime. They are, roughly, 2.5 percent more likely to develop MS. Many potentials parents will often weigh the increased risk when thinking about starting a family. MS Focus Senior Medical Adviser  Ben Thrower, M.D. said, “While your child may have a 2.5 percent risk of developing MS, remember that means there is a 97.5 percent chance they will not.”

MS medications are another factor in the decision to start a family. Most MS medications should not be used during pregnancy on the basis of animal studies, and none have been studied specifically in pregnant women. If you are planning a family, speak to your doctor about the process and timing of stopping and restarting your medication.