A perturbative calculation for the long-range and intermediate interactions between excited state H2(E1∑g+) and ground state H2(X1∑g+) in the crossed geometry is performed by using a trial wavefunction depending on the interelectronic distance explicitly. According to the results, there is a potential energy barrier around the inter-molecular separation D = 6.5α0. Inside the barrier, there shows a strong chemical bond behavior.