By plane
Oslo Airport Gardermoen (http://www.osl.no) IATA: OSL is the closest airport with bus transfer several times each day to and from Hønefoss. Look for the buses marked "Askeladden"
By bus
Buses leave every hour from Oslo Bussterminal, until late in the evening. Night-buses on the weekends.The trip takes around one and a half hours, and is worth it for the view alone. You will get a magnificent view over the great Tyrifjord Lake, one of Norway's biggest inland lakes. Make sure you get a seat on the left side of the bus when travelling from Oslo, to get the best view.
Askeladden reiser (http://www.askeladden.net/) has a regular transport from Hønefoss to Oslo airport Gardermoen (http://www.osl.no/) eight times every day from 05:30 in the morning to the last return from the airport at 10:45 in the evening, except for saturdays. Check the schedule under the link "Gardermobussen". (http://www.askeladden.net...)