The VWP (Visa Waiver Program) allows most British Citizen passport holders to visit the US for up to 90 days. The types of journey allowed under the VWP include tourism, certain types of business visit and transit to another country.
All travellers wishing to enter the US under the VWP now need to hold a passport with an integrated chip (an ePassport). Your passport is an ePassport if it carries this internationally recognised symbol on the front cover. Please click on the link below for more information:-
https://www.cbp.gov/sites/default/files/documents/VWP%20Program%20Passport%20Compliance%20Update.pdf