Tsinghua Univ, Dept Phys, Beijing 100084, Peoples R China
; Tsinghua Univ, Ctr Astrophys, Beijing 100084, Peoples R China
; Univ Alabama, Dept Phys, Huntsville, AL 35899 USA
; NASA, George C Marshall Space Flight Ctr, Space Sci Lab, Huntsville, AL 35812 USA
; Chinese Acad Sci, Inst High Energy Phys, Key Lab Particle Astrophys, Beijing 100039, Peoples R China
Poletti and Wiltshire have shown that, with the exception of a pure cosmological constant, the solution of a dilaton black hole in the background of de Sitter or anti-de Sitter universe, does not exist in the presence of one Liouville-type dilaton potential. In this work we obtain the dilaton black-hole solutions in the background of the de Sitter or anti-de Sitter universe, with the combination of three Liouville-type dilaton potentials.