From Southwark Underground Station Tube to Green Park Underground Station then Tube to Euston Underground Station. 9 min £2. From Waterloo Underground Station Tube to Euston Underground Station. 10 min £2. From Waterloo, The Old Vic line 68 bus to Euston Bus Station. 20 min £2. From Southwark taxi to Euston Station. 8 min £14. From Southwark Uber to Euston Station. 8 min £8. From Southwark walk to Euston Station. 51 min. From Southwark Station 2, Southwark Bikeshare to Drummond Street , Euston. 20 min.