A brief research review is done on the new method development for the element luminescent determination, namely, sonoluminescent spectroscopy. The advantages and disadvantages of the technique of multibubble sonoluminescence (MBSL) in solutions used to apply this method are discussed. It has been shown that the use of a new technique moving single-bubble sonoluminescence (m-SBSL) in colloidal suspensions of nanoparticles (less than 50 nm) containing the elements analyzed seems preferable for this purpose. This makes it possible to determine elements not only at lower concentrations than when using MBSL in solutions, but also to find elements that are unavailable for determination through previous technique. Thus, the new technique expands the range of elements determined by sonoluminescent spectroscopy. The article provides a detailed description of the standard procedure for the preparation and recording of m-SBSL in colloidal suspensions, as well as examples of characteristic spectra of some elements obtained and recorded for the first time according to this new technique (Al, K, Mn, Cd, Pt, Ni, Ti), including those not previously found using the MBSL in solutions (Al, Cd, Pt, Ni, Ti). By the example of the analytical line at 396 nm in the Al spectrum obtained through the new technique on the basis of the AlCl<sub>3</sub> initial aqueous solution, the region of the linear dependence of the intensity on the AlCl<sub>3</sub> concentration was registered, and the lower limit of the spectroscopic determination of the Al content in this solution was estimated as 8.3·10<sup>–3</sup> mol/L. Using the analysis of the obtained Cd spectrum as an example, we carried out a spectroscopic measurement of the electronic temperature achieved at m-SBSL in bubble plasma at the moments of the greatest compression of a bubble with light emission during its acoustic oscillations in dodecane <i>T<sub>e</sub></i> = 7900 ± 500 K.