The Woodstock Music and Art Fair, also known as An Aquarian Exposition: 3 Days of Peace & Music, held in Bethel, New York on August 15,16 and 17, 1969 has been called both the end of the 60’s and the beginning of the 70’s.
I suppose that both of these can be true, but I feel as an event it was more of the beginning of the 70’s with the Moon Landing a few weeks earlier being the end of the 60’s.