Concerned that President Trump’s refusal to accept the election results is hurting the country, more than 100 chief executives plan to ask the administration on Monday to immediately acknowledge Joseph R. Biden Jr. as the winner and begin the transition to a new administration.

As a way of gaining leverage over the G.O.P., some of the executives have also discussed withholding campaign donations from the two Republican Senate candidates in Georgia unless party leaders agree to push for a presidential transition, according to four people who participated in a conference call Friday in which the notion was discussed. The two runoff elections in Georgia, which will take place in early January, will determine the balance of power in the United States Senate.

In a letter they plan to send Monday, business leaders will demand that Emily W. Murphy, head of the General Services Administration, issue a letter of ascertainment affirming that Mr. Biden and Vice President-elect Kamala Harris have won the election. Ms. Murphy has so far resisted calls to begin the normal transition planning, which includes providing resources and money to an incoming administration as it prepares to take control.