<p>Although secondary organic aerosols (SOAs) are major components of PM<sub>2.5</sub> and organic aerosol (OA) particles and therefore profoundly influencing air quality, climate forcing and human health, the mechanism of SOAs formation via Criegee chemistry is poorly understood. Herein, we perform high-level theoretical calculations to study the reactivity and kinetics of four Criegee intermediates (CIs) reactions with four hydroxyalkyl hydroperoxides (HHPs) for the first time. The calculated results show that the sequential addition of CIs to HHPs affords oligomers containing CIs as chain units. The addition of -OOH group in HHPs to the central carbon atom of CIs is identified as the most energetically favorable channel, with a barrier height strongly dependent on both, CI substituent number (one or two) and position (<i>syn-</i> or <i>anti-</i>). In particular, the introduction of a methyl group into the <i>anti</i>-position significantly increase the rate coefficient, dramatic decrease is observed when the methyl group is introduced into the <i>syn</i>-position. Based on the collected data, the atmospheric lifetime of <i>anti</i>-CH<sub>3</sub>CHOO in the presence of HHPs is estimated as ~ 5.9 × 103 s. These findings are expected to broaden the reactivity profile and deepen our understanding of atmospheric SOAs formation processes.</p>