The new bar, which serves the restaurant while also being a destination itself, is offering nibbles including oysters, pints of prawns, and platters of smoked fish and seafood.
Furnished with reclaimed church pews, and tables for large and small groups, the bar also has a large, picture window frontage that opens onto an alfresco drinking and dining area, offering views over the river Thames.
Brady’s was opened by Luke and Amelia Brady 25 years ago, with the sole purpose of celebrating English seafood.
Luke Brady said: “Like the restaurant, the bar has a sense of the seaside, with an interior reminiscent of a beach hut, and seagrass growing in planters outside.
“Unlike the restaurant there won't be table reservations in the bar, which is open from 6pm Tuesday to Thursday and from noon Friday to Sunday.”
Draught beers are from Shepherd Neame, and include the new Whitstable Pale, claimed by Brady to be a great match for oysters.
The bar is also serving a selection of cocktails, gins and vodka from Sipsmith, as well as wines and Champagnes.
Produce from the bar and restaurant comes directly from the quayside in Newlyn, Cornwall, and from Grimsby, in Yorkshire.
The restaurant has paper dinner menu that shows how many of each 'fish-of-the-day' are left.
Starters on the restaurant menu include: potted shrimps; anchovies and sweet herrings, and beetroot cured smoked salmon.
Mains include classic-battered fish (cod, haddock or Scottish saithe), while a regular feature on the dessert menu is Brady's homemade apple crumble.