Someone who's infertile isn't able to have children. Plants and animals, as well as humans, are sometimes infertile and can't reproduce naturally.
People who are trying to have a baby may find they're unable to because one of them is infertile, or not able to conceive. A woman who's infertile may instead be unable to carry a baby to term. Infertile is a French word, from the Latin infertilis, "unfruitful," from the roots in-, "not," and fertilis, "bearing in abundance."