Coming from Hannover (westbound) on highway A27 stay on the A27 at the "Bremer Kreuz" (direction Bremerhaven).
Coming from Hamburg (southbound) or Osnabrück (northbound) on highway A1 take the direction Bremerhaven (A27) at the "Bremer Kreuz".
After arriving at Bremen main station you take either a taxi (destination Universitaetsallee 29, hint for the taxi driver: just across the street of "Berufsbildungswerk") or take the tram 6, direction "Universität" and get off at the station "Berufsbildungswerk/Technologiepark".
Both tram (goes each 5 to 10 minutes during office hours) and taxi take about 10 minutes for the trip.
After arriving at Bremen airport you take either a taxi (destination Universitaetsallee 29, hint for the taxi driver: just across the street of "Berufsbildungswerk") or take the tram S6, direction "Universität" and get off at the station "Berufsbildungswerk/Technologiepark".
The trip by tram takes 30 minutes. The taxi might be some minutes faster off-peak.