No, the two are quite different.
Tower Bridge is the only bridge to have occupied that site.
London Bridge is the latest of several on its site; the earliest was supposed to have been the Roman one. But recently archeologists have unearthed the remains of an earlier bridge - a startling find.
Tower Bridge is east of London Bridge.
Tower Bridge is adjacent to the Tower of London on its southeast corner.
Tower Bridge is in London.
Tower Bridge is just East of the City of London, about 2-miles downstream of the houses of parliament, right next to The Tower of London. The bridge spans the boroughs of Southwark (south) to Tower Hamlets (north). The nearest tube station is Tower Hill on the Circle and District lines.
Tower Bridge is in London, England over the River Thames
Tower Bridge and London Bridge.
Tower Bridge is in London and the Eiffel Tower is in Paris.
The Tower Bridge is a combined bascule and suspension bridge.
Tower Bridge straddles the River Thames just to the east of central London and is adjacent to the Tower of London.
Construction on Tower Bridge in London began in 1886 and it was completed in 1894. Tower Bridge in Sacramento was finished in 1935.
London Bridge has never had any towers. Maybe you're thinking about Tower Bridge.
Tower Bridge is the only bridge in London that is capable of opening to allow ships to pass under it.