In the Williams classic, a repressed minister's daughter nurses a longtime unrequited love for the boy next door, who grows up into a playboy whose nature is completely at odds with hers.
Performances will continue through April 7.
The production is designed by Tom Scutt, with lighting by Lee Curran, composition by Angus MacRae, sound by Carolyn Downing, and casting by Julia Horan.
Williams was awarded two Pulitzer Prizes, a Tony Award, three Drama Critic Circle Awards, and the Presidential Medal of Freedom. Summer and Smoke was first performed on Broadway in 1948 and premiered for the first time in the West End in 2006.
For more information visit almeida.co.uk.