German press agency DPA say the Bavarian bank has filed a fresh suit in Munich against the 84-year-old Ecclestone, the chief executive officer of Formula One.
The Bavarian state bank, who were unavailable for comment on Friday, accuses the British billionaire of bribing one of its executives to influence the 2006 sale of Formula One's rights.
Ecclestone has counter-sued BayernLB by filing a suit in London, according to reports.
In August, Ecclestone avoided a possible prison sentence by agreeing to pay $100 million to settle a case in Munich after state prosecutors said he paid BayernLB executive Gerhard Gribkowsky $44 million as a bribe to help smooth the sale.
Ecclestone has never denied paying the money, but said he was blackmailed into paying the huge sum or would have risked losing the Formula One rights.
The corruption case tainted the Formula One chief's tenure for more than three years.
Gribkowsky is serving an eight and a half year sentence for corruption and tax fraud after accepting the money.