Hiranyakashipu received a special benediction from Lord Brahma that he could not be killed by any human being, demigod, or animal or any other entities; he could not be killed by any kind of weapons, neither during day nor night. So, the Lord appeared in half-man half-lion form and killed him with His nails at twilight, thus satisfying all the conditions.
Narasimhadeva appeared at dusk on the Shukla Chaturdashi (fourteenth day of the bright fortnight) in the month of Vaishakha (May). Devotees fast till dusk on this day.
Here is a special opportunity for you to take part in offering Prayers to Lord Sri Narasimha for His divine Protection, during the Narasimha Yajna on the auspicious day of the Lord’s appearance.