We investigate the formation of bond order in the stripe phase of cuprates. We use a combination of the bond and the spin polaron formalism together with the recursion method to evaluate and compare the energy of several different spin backgrounds in the framework of the t‐J
model (tJM) on the square lattice. We find out that the stripe system, in which antiferromagnetic (AF) ordered domains are separated by two‐leg ladder‐like bond ordered domain walls (DWs) with singlets formed on legs, is stable at and above the hole doping level 1/8. This fact seems to be relevant to the nature of high‐energy excitations recently observed in neutron‐scattering experiments on cuprates.