I have never used the facilities in Barcelona but here is an extract from Barcelona Cruise Port: Tourist Transport and Facilities At The Docks. "Montjuïc Car Park at Passeig de Josep Carner / Passeig de Montjuic is only about 5 minutes drive from the cruise ports. This is a surface car park (an outdoor car park) but has 24 hour security. For more information including rates and exact location of this car / coach park click on the link below." Google that and several items of use will appear. .... Neil .
Try this: http://www.bcninternet.com/touristinfo.php?contentid=3203.
We drove to Barcelona in May and found a website(before we went of course) called www.barcelona.tourist.guide.com/en/transport/longterm-parking-in-barcelona.html and parked for up to 8 days for 45 euros with a company call B:SM ith a deal called P-8 Dias. in the Forum area of Barcelona. It was tricky to find the entrance into this custom built car park even with a Sat Nav so leave yourself plenty of time. We came in on a lower level and couldnt find anyone to speak to but eventually found a manned booth on another level and explained we wanted to park for 5 days
they gave us a validated ticket for our stay and we then headed to the surface with our cases and caught a taxi which cost about 15 euros to the port. Easy!! but coming off the ship we took a taxi that was waiting at the port ,showed the driver the car parking ticket to which he nodded and said 'no problem' and promptly drove off in the wrong direction, when we queried it he reassured us and ten minutes later pulled up outside the FORUM HOTEL - ta da!!! marvellous, just what we needed ! A map borrowed from the hotel put us back on track but he reset his meter and charged us for his mistake. We gave up argueing and saw the funny side of it.
Try typing in 'cheap long term parking Barcelona' if you have trouble with that web address.
Good luck and best wishes Carol Guy.