The hormone increases quickly in the female blood from the corpus luteum of the egg to a level that inhibits further luteinizing hormone (lh) production from the anterior pituitary, which stops ovulation.

The correct answer will be - Progesterone

Explanation:

The luteinizing hormone is a gonadotrophic hormone which is released by the anterior pituitary region of the brain.  

The luteinizing hormone stimulates the release of ovum from the egg during the ovulatory phase and when the ovum is not fertilized leads to the degradation of the ovule or ovarian follicle forming corpus luteum.

The corpus luteum stimulates the secretion of the progesterone and oestradiol which inhibit the secretion of the luteinizing hormone. This inhibition of  Luteinizing Hormone stops ovulation.

Thus, Progesterone is the correct answer.