Yes. Obama approved of this during his administration
.
Many people don't know this yet and have been bringing only opposite-sex spouses or fiances to the US. Not so anymore. Men can marry men and women can marry women and bring their spouses here.
-------------------------------------------------------------------------------
Same-sex spouses of U.S. citizens and Lawful Permanent Residents (LPRs), along with their minor children, are now eligible for the same immigration benefits as opposite-sex spouses. Consular officers at U.S. Embassies and Consulates will adjudicate their immigrant visa applications upon receipt of an approved I-130 or I-140 petition from USCIS.
https://travel.state.gov/content/travel/en/us-visas/immigrate/family-immigration/immigrant-visa-for-spouse.html