The plan was criticized in separate filings by three of the industry’s most influential trade groups  the American Bankers Association, the Mortgage Bankers Association and the Independent Community Bankers of America. More modest concerns about some of the provisions were also raised by the National Association of Home Builders and the National Association of Realtors.

Regulators have been meeting about the proposals with bankers, brokers and consumer groups in recent weeks and are continuing to do so.

Some of the groups seeking changes maintain that the proposals threaten to make borrowing for a home far more expensive and would unfairly deny mortgage brokers the right to earn certain fees.

Small community banks, which have played no significant role in the housing crisis, have urged the Fed to limit the scope of the proposed rules so that they do not discourage them from issuing loans. Lending groups have also raised concern that they would lead to frivolous and expensive litigation.

“We support many of the provisions in the proposed rule, but we do have concerns about the increased regulatory burden, liability and reputational risks that lenders might face,” said Kieran P. Quinn, chairman of Column Financial, Credit Suisse’s mortgage lending subsidiary in Atlanta, and the chairman of the Mortgage Bankers Association.

On at least one major aspect of the proposed restrictions  how broadly they should apply  the industry appears to be making headway. In a recent speech, Mr. Kroszner suggested that in response to criticism that the plan was including too many kinds of loans the Fed was considering whether to narrow the plan.

Image Randall Kroszner, a Federal Reserve governor, suggested new mortgage rules after the housing crisis began last summer. Credit... Dennis Brack/Bloomberg News

“We have heard from commenters who have expressed concern that in the current market environment, the proposed trigger could cover the market too broadly, and we will carefully consider the issues they raise and other possible approaches to achieve our objective,” Mr. Kroszner said last month at a conference of the National Association of Hispanic Real Estate Professionals.