Combined Fund Stability and Fairness Act

Combined Fund Stability and Fairness Act - Amends chapter 99 (Coal Industry Health Benefits) of the Internal Revenue Code and the Surface Mining Control and Reclamation Act of 1977 to redefine the term "coal wage agreement" to include only the 1988 agreement which became effective on February 1, 1988, and any predecessor to the 1988 agreement. Redefines the term "signatory operator" in a similar manner (as a 1988 operator).

Provides for a reduction in health benefit premiums to coal miners if there is a surplus in the Combined Benefit Fund.

Provides for the transfer of certain amounts of interest from the Abandoned Mine Reclamation Fund to the Combined Fund.

Reduces Abandoned Mine Reclamation Fund fees. Extends the Abandoned Mine Reclamation Fee program for an additional six years.

Authorizes appropriations for the transfer of $38 million from the 1950 United Mine Workers of America Pension Plan annually to the Combined Fund to cover any shortfall in the premium account of the Combined Fund.