By bus
Newmarket Rookery Bus Station has regular services to Cambridge, Ely and Bury St Edmunds with Stagecoach
Local busses around the villages, and to towns like Mildenhall, are found on Traveline East Anglia.
National Express coaches stop on the High St, outside KFC / Palmers. These services run to Norwich every 2 hours, London 5 times per day, and the London airports every 2 hoursStansted, Heathrow and Gatwick.
Rail
Newmarket station is on the Cambridge to Ipswich line. Trains run roughly hourly, except on Sundays when they are 2-hourly. Timetables and prices are available from National Rail. To find the office from the station, exit the station onto the road. Turn right, then at the end of the road turn left. Continue straight on to the traffic lights on the High St. Turn right. At the clock tower roundabout, take the second exit signed Ely A142. Just past the traffic lights, Computerlinks is the brick building immediately after Waitrose. The walk is about 15 minutes, but there may be taxis at the station. If taking a train from Newmarket, pay attention to the direction of travel - the line is single track so all trains use the same platform. For Cambridge, trains approach from the left as standing on the platform.
For longer distance services, connections are available at Cambridge for Stansted Airport, London, the Midlands and the North, or towards Ipswich you can change at Stowmarket for Norwich.
Road
Newmarket is on the A14 and A11 main routes.