WASHINGTON — A bipartisan group of senators said Thursday they have reached agreement on legislation designed to enhance the safety of the nation's food supply, setting the stage for the full Senate to take up the measure later this year.

The bill would give the Food and Drug Administration the power to order a food recall rather than merely request one. The agency also would increase the frequency of inspections at processing plants.

Each year, more than 300,000 Americans are hospitalized and 5,000 die after eating contaminated foods. Large recalls involving spinach, tomatoes, peppers and lettuce led lawmakers to attempt to strengthen food laws.

The House already has approved a food safety bill. Supporters are lobbying Senate Majority Leader Harry Reid to hold a vote on the Senate version next month.