Shakespeare's tragedy, which will play London's Barbican theatre, will sell 100 seats per performance priced at £10.
Hamlet is directed by Lyndsey Turner. Performances will begin Aug. 6, 2015, and continue through Oct. 31.
The majority of tickets will be priced between £30 and £62.50, before booking fees, with a limited number of premium seats also available.
Cumberbatch stars in the TV show "Sherlock," and his film credits include "August: Osage County," "The Fifth Estate" and "12 Years a Slave." Complete casting for the production will be announced at a later date.
Tickets to Hamlet are available for purchase to 'red' members Aug. 1 and 'orange' members Aug. 4. General release is Aug. 11.
Visit hamlet.barbican.org.uk for more information.