The change in the law means single women will have the same opportunity offered to married couples, registered partners and cohabitant couples, or sambos.
In the past, single Swedish women who wanted to receive fertility treatment were forced to go abroad, with many choosing to travel to neighboring Denmark to undergo artificial insemination.
"Largely, it's a recognition for our children. That their families are as they are supposed to be", says Elida Kindh, of the support group Femmis, who herself received fertility treatment in Denmark and Poland before this change in the law.
She tells Radio Sweden that in the past Swedish doctors had asked women why they did not just "get a boyfriend or go to the pub" if they wanted children.
According to the new Swedish law, a doctor would still have to decide whether assisted reproduction is a suitable alternative, which also applies for women in relationships.
The final vote in parliament saw 218 members voting yes, and 40 opposing the measure with 13 abstaining. Only the Sweden Democrats and Christian Democrats objected to the law, saying that society should not help create families with only one parent.