A cuvette used in a flameless atomizer is hollow and includes an opening at both ends and a hole in a radial direction substantially at its central portion. The cuvette is made of a conductive material and Joule-heated by currents flowing therethrough. The interior of the cuvette is divided substantially into three sections: a sample mount section at which a sample introduced through the hole of the cuvette is disposed; a light beam path section through which light incident from the opening at one end of the cuvette passes and goes out of the opening at the other end; and an absorption cell section at which the light beam path section intersects with atomic vapors generated from the sample disposed at the sample mount section. The electric resistance of the cuvette is made smaller at the sample mount section than at a portion near the absorption cell section. This allows the higher temperature of the portions near the absorption cell section than that of the sample mount section. Therefore, almost all of the atomic vapors in the cuvette exist at the absorption cell portion, and the application of a magnetic field to the absorption cell section allows a great improvement in analysis precision and sensitivity of the flameless atomizer for atomic absorption analysis using a Zeeman effect.