Yes, in most cases of spaying (also known as ovariohysterectomy) in female rabbits, both the ovaries and the uterus are removed by a veterinarian. This procedure involves the removal of the entire reproductive tract, including the ovaries, fallopian tubes, and the uterus.

Removing both the ovaries and uterus is recommended for several reasons:

1. Preventing Pregnancy: Removing the ovaries eliminates the rabbit's ability to become pregnant by removing the source of eggs. It ensures that the rabbit cannot reproduce and helps prevent accidental litters.

2. Hormone Regulation: By removing the ovaries, the production of reproductive hormones (such as estrogen and progesterone) is stopped. This helps prevent hormonal imbalances, reduces the risk of reproductive diseases like uterine cancer or pyometra, and can also help in managing aggressive or territorial behaviors.

3. Complete Removal of Disease Risks: Removing the uterus along with the ovaries eliminates the risk of diseases specific to the uterus, such as uterine cancer or uterine infections (pyometra). It provides the best long-term health benefits for the rabbit.

Spaying a rabbit is a surgical procedure that should be performed by a skilled veterinarian experienced in rabbit care. It is important to follow post-operative care instructions and monitor the rabbit's recovery closely. Always consult with a veterinarian to discuss the procedure, potential risks, and any specific recommendations for your rabbit's individual circumstances.