Electromagnetic　(space)　kurtosis　for　time-reversal　source　reconstruction　has　been　reported　where　space　kurtosis　can　first　identify　the　excitation　time　instants　then　localize　the　sources.　This　paper　proposes　the　electromagnetic　time　kurtosis,　which　can　directly　reconstruct　sources　locations　regardless　of　excitation　time.　We　further　extend　it　with　band-limited　signals　for　practical　applications.　Numerical　examples　demonstrate　the　effectiveness　of　the　proposed　time　kurtosis.　©　2022　IEEE.