There are no hotels near the venue. It is located on the top of the hill, in the Montjuic park, behind the great fountains and museum. If you like to stay with the fun then stay close to la Rambla - the street that never sleeps. Or in the side streets. You walk half an hour from the Olymoic park and to la Rambla, or you take the underground - cheap and fast.
See the Barcelona guide with map hotels etc:
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www.bcn.es]
PS. One time I stayed in the Av. Diagonal area of course a bit cheaper than central Rambla but it's like saving money in the wrong place. Walk into Rambla as you wake up and enjoy that fantastic crowded and fun street! I have been way too busy with the US part of the tour up to now, but I am working on detaløed travel pages for all the European cities and shows, as I know them all quite well.
Bjornulf