In　our　previous　study,　we　introduced　the　concept　of　electromagnetic　kurtosis　and　incorporated　it　into　the　electromagnetic　time-reversal　process　for　source　reconstruction.　In　this　article,　we　extend　the　idea　and　propose　the　space　and　time　kurtoses　methods.　The　temporal　distribution　of　the　space　kurtosis　identifies　the　source　excitation　time　instant,　while　the　spatial　distribution　of　the　time　kurtosis　reconstructs　the　location　of　the　source.　By　introducing　the　threshold,　we　can　then　localize　multiple　asynchronous　sources　with　time　kurtosis　directly.　Numerical　experiments　are　conducted　to　verify　the　effectiveness　of　the　presented　methods.　©　1963-2012　IEEE.