In a statement, Wolf's office said "irresponsibly going against the direction of the secretary of health and reopening businesses too early will only extend the length of the economic hardships created by the pandemic."
The Senate approved the legislation on a party-line vote after two hours of floor debate.
RELATED: Employees, customers to be required to wear masks inside essential Pennsylvania businesses, Wolf administration orders
Wolf's health secretary, Dr. Rachel Levine, wrote to senators Wednesday to warn of the bill's "devastating" impact on the administration's ability to fight the virus.
Republicans accused Wolf of overseeing a haphazard and secretive process for determining which businesses must close, and which may remain open. Democrats, in turn, accused Republicans of ignoring health experts and risking lives. Republicans countered they were merely trying to force Wolf to adopt guidelines issued by the U.S. Centers for Disease Control and Prevention.
-- The Associated Press contributed to this report.