A new two-dimensional structure modulation along c- and b-axes has been dis
covered in superconducting single crystals of Bi2.13Sr1.87CuO6+delta (Bi220
1) by x-ray scattering. Such modulation structure does not exist in non-sup
erconducting Bi2201 single crystals, but instead lattice distortions are ob
served in the a-b-plane. This phenomenon may indicate that both strain rela
xation and charge modulation in the a-b-plane are important to the occurren
ce of superconductivity in the copper oxides.