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After being pumped from the 5s1/2 ground state to the 6p1/2 state,the population inversion between 6s1/2 and 5p1/2,3/2 can be established for a rubidium four-level active optical clock.We calculate the ac Stark shift due to lattice trapping laser which dominates the frequency shift of clock transition in a lattice trapped rubidium fourlevel active optical clock.Several magic wavelengths are found,which can form desired optical lattice trapping potential.By choosing a proper intensity and linewidth of the trapping laser,the fractional frequency uncertainty of clock transition due to the ac Stark shift of the trapping laser,is estimated to be below 10-18.