Yes, but only in specific designated areas. Under Article 3 of Law No. 17 of 2004, non-Qataris may purchase freehold property in designated zones such as The Pearl-Qatar, West Bay Lagoon, and Al Khor Resort. Outside these zones, full freehold ownership is generally not available to non-Qataris.
It is worth noting that GCC nationals enjoy slightly broader rights under Article 2, which allows them to own real estate in a wider range of 'Investment Areas' as determined by a Cabinet Decision. Non-GCC expats are limited to the specific projects named in Article 3.
If you are considering purchasing property in Qatar, always verify with the Real Estate Registration Department that the development you are buying into falls within the legally designated freehold zones. Working with a licensed real estate agent familiar with expat ownership rules is strongly recommended.
This is general legal information, not legal advice. For advice on your specific situation, consult a lawyer licensed in Qatar.