"The arrest warrants were applied for these five individuals and they were granted," an SFO spokeswoman told AFP.
The five include four former Deutsche Bank employees -- Andreas Hauschild, Joerg Vogt, Ardalan Gharagozlou and Kai-Uwe Kappauf -- as well as former Societe Generale employee Stephane Esper.
Esper's lawyer, Francois de Casto, said his client would be contesting the warrant in France.
A preliminary hearing was held at a London court in January in a case that is due to go to trial in September next year. The five did not attend.
The Euribor is the eurozone equivalent of the daily London Interbank Offered Rate, or Libor, which was found to have been manipulated.
It is alleged that collusion to manipulate the Euribor rate occurred between employees of Deutsche Bank, British lender Barclays and French giant Societe Generale to profit the accused and their employers.