In a push to simplify loan modifications, many borrowers who become 90 days or more past due on mortgages backed by Freddie Mac and Fannie Mae will be offered lowered payments without having to prove hardship, the federal regulator of the home-finance giants said.

The streamlined modification program, to be put into effect in July, would reduce monthly payments by about 30 percent on average, officials said in announcing the program Wednesday.

Eligible borrowers would receive letters explaining the modification offer and specifying the reduced payment. If they made three monthly payments during a trial modification period, the new loan terms would become permanent — without them having to document their financial situations.

Fannie and Freddie own or guarantee more than half of all U.S. home loans. They pay mortgage customer-service providers — which are mainly large banks — to collect payments, handle foreclosures, and work to modify loans for troubled borrowers.

Problem with servicers have included frequent complaints of lost or mishandled paperwork. And many troubled borrowers have not responded to servicers’ efforts to reach them to discuss foreclosure alternatives.

The new program, announced by the Federal Housing Finance Agency, which regulates Fannie and Freddie, is designed to address those problems, the FHFA said.

“This new option gives delinquent borrowers another path to avoid foreclosure,” FHFA’s acting director, Edward DeMarco, said in a statement.

He encouraged borrowers to apply for modification programs requiring documentation, saying they probably would wind up with lower payments than those generated by the streamlined modifications.