In a move intended to reassure the jittery financial markets, the European Commissioner for Monetary Affairs, Olli Rehn, on Thursday stressed the fact that the European Union and the International Monetary Fund (IMF) were aware of the need to move swiftly to help an overly indebted Greece.
Euro zone leaders will hold an emergency summit on Monday.
The legislation passed with 230 votes in the 300-seat chamber.
Formal negotiations are due to start in Athens on Friday.
Capital flows have become much more skittish and volatile during this period, with short-term horizons dominating allocations.