The Canadian government and the United Auto Workers union are also set to own smaller shares in the firm, reports say.
An Obama administration official said on Thursday that the government expected GM to be in bankruptcy proceedings for between 60 and 90 days before it re-emerged as a new company.
Creditors who are owed about $27bn in debt rejected a deal on Wednesday that would have given them 10 per cent of a restructured GM.
But they appeared to accept a new offer on Thursday that would see them also receive warrants to acquire another 15 per cent of the equity in the new company.
The offer would be made provided the creditors support a quick sale process similar to one now being used for Chrysler, another of the so-called big three Detroit-based vehicle manufacturers, which has already entered bankruptcy proceedings.
The US automobile industry has been hit hard by a slump in sales amid a US recession and a global financial crisis.
German officials were to hold talks on Friday to try to reach a rescue deal for Opel, a German subsidiary of GM.
Two bidders were interested in Opel - Italian car giant Fiat and Canadian auto parts maker Magna.
GM's total liabilities of $185bn break down into:
$27bn in unsecured debt
$25.5bn in government and bank loans
$20bn owed on healthcare and pensions
$112.5bn in other debt
But Fiat said it would not attend Friday's talks, saying the German demands on the deal were "unreasonable."
Sergio Marchionne, the CEO of Fiat, said a requirement that Fiat provide Opel with emergency funds while the government decides the timing and conditions of bridge financing would expose Fiat to "unnecessary and unwarranted risks".
Talks between Germany and the United States aimed at saving Opel broke down on Thursday, raising fears over tens of thousands of jobs in Europe.
All-night discussions in Berlin, the German capital, ended when GM and the US government said they needed an extra $416m in temporary loans from Germany to keep Opel afloat.
Peer Steinbrueck, Germany's finance minister, described the last minute tactic as "scandalous".
The negotiations were aimed at finding a suitable buyer for the US carmaker's ailing European operations, including Opel and Britain's Vauxhall Motors, in an attempt to shield them from GM's looming bankruptcy in the US.