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The miss distance measurement is very important for the tested missile to evaluate the actual performance of it. Nowadays, more and more missile tests are carried out under complex electromagnetic environment. It leads to RF-based miss distance measurement system often is jammed by active jamming system and passive jamming system, the validity of measurement data is poor and does not meet the test requirements. Because the sound cannot be jammed under complex electromagnetic environment, an approach on miss distance measurement using acoustic method is brought out in this paper. After building the cone equation of supersonic missile, the time differences are used to resolve the miss distance by LS. Based on the idea of maximum likelihood estimation, the optimization results are searched in the search-space of missile attitude and velocity. The result of simulation indicates, the calculation precision of flight path is better than 2m in most area when the missile fly over target-ship.