According to Google Maps the driving distance is 2 hours and 50 minutes.
Walking distance is 2 days 10 hours.

Hope this helps.

http://maps.google.com/maps?q=hamburg%20to%20berlin&rls=com.microsoft:en-us&oe=UTF-8&startIndex=&startPage=1&rlz=&um=1&ie=UTF-8&sa=N&hl=en&tab=wl
Source(s):
www.google.com/maps

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At about 2.5 hours from Berlin by train, and 3 by car, Hamburg is best done as a weekend trip, according to berlinfo.com. As far as actual distance between the cities... well, as the crow flies it's 158.15 miles, or 254.51 Kilometers, bearing Southeast according to MapCrow.
Source(s):
www.berlinfo.com/Traveltime/BeyondBerlin/hamburg/index.htm
http://www.mapcrow.info/Distance_between_Hamburg_GM_and_Berlin_GM.html

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