Disclosed is an acrylic pressure-sensitive adhesive tape or sheet that exhibits satisfactory adhesion to hard-to-adhere adherends.The acrylic pressure-sensitive adhesive tape or sheet includes a microsphere-containing viscoelastic layer (X); and a pressure-sensitive adhesive layer (Y) arranged on at least one side of the viscoelastic layer (X). The pressure-sensitive adhesive layer (Y) is derived from an acrylic pressure-sensitive adhesive composition through the application of an active energy ray, and the acrylic pressure-sensitive adhesive composition contains (a) a vinyl monomer mixture mainly containing an alkyl(meth)acrylate (a1) whose alkyl moiety has 2 to 14 carbon atoms, or a partial polymer of the vinyl monomer mixture; (b) a photoinitiator; and (c) an alkylphenol tackifier. The acrylic pressure-sensitive adhesive composition preferably contains 0.001 to 5 parts by weight of the photoinitiator (b) and 0.01 to 25 parts by weight of the alkylphenol tackifier (c) per 100 parts by weight of the vinyl monomer mixture or a partial polymer thereof (a).