To catch it in the Leaf village, be there at 6:10 AM or PM, Eastern Standard Time (New York). Using both AM and PM indicates that Nine Tails spawns twice a day or rather every 12 hours at that same time.

What time does Kurama spawn?

Kurama boss spawns every 3 hours, on the mountain behind the hokage mansion. To fight him you will need another 3 people with you.

What episode does Kurama appear?

"Kurama" (九喇嘛, Kurama) is episode 328 of the Naruto: Shippūden anime.