I don't know much about American literature in 1960s. I want to find some brief information about this period. Could anybody tell me how that...

There were many different literary movements in the 1960s, some continuous with literary movements of the 1950s and some representing new approaches to form and subject matter.

The Beat poets of the 1950s, including Allen Ginsberg, Gary Snyder, and Lawrence Ferlinghetti continued to be influential, pursuing a style influenced by Whitman, emphasizing intense first person experience and rebellion against both social and literary conventions. Also linked with the Beats and active at the same period were...

There were many different literary movements in the 1960s, some continuous with literary movements of the 1950s and some representing new approaches to form and subject matter.

The Beat poets of the 1950s, including Allen Ginsberg, Gary Snyder, and Lawrence Ferlinghetti continued to be influential, pursuing a style influenced by Whitman, emphasizing intense first person experience and rebellion against both social and literary conventions. Also linked with the Beats and active at the same period were the Black Mountain poets, including  Robert Duncan, Denise Levertov, and Robert Creeley, all of whom appropriated many of the poetic techniques of Pound and the Imagists. Southern poets and an eclectic group associated with Yvor Winters remained concerned with traditional forms.

In fiction, one major topic area was the Vietnam War; perhaps the most iconic novel emerging from this was Joseph Heller's Catch-22. William S. Burroughs, Henry Miller, and Jack Kerouac wrote novels connected with the Beat movement, written in a stream-of-consciousness style and including explicit details of sexual experiences. Another major development in fiction was the growth of postmodernism, especially metafiction, seen in the work of such writers as Kurt Vonnegut, Robert Coover, John Barth, and Thomas Pynchon. 

In nonfiction, a major movement was the New Journalism, a highly personal, novelistic style of writing which focused as much on the character and reactions of the writer as on the putative subject. Exemplars of this style included Joan Didion, Norman Mailer, Tom Wolfe, and Hunter Thompson.