TRoplcal DEep-sea Neutrino Telescope (TRIDENT) is a next-generation neutrino telescope planned to be constructed in the South China Sea. It incorporates a hybrid digital optical module (hDOM) that combines both photomultiplier tubes (PMTs) and silicon photomultipliers (SiPMs). Overcoming the challenge of minimizing ambient backgrounds such as $^{40}$K and dark noise captured by the photon sensors necessitates the use of trigger mechanishm. In this study, we propose a triggering algorithm that relies on implementing temporal and spatial coincidence criteria within hDOMs, and this work jumpstarts the full TRIDENT trigger schemes, which are to be developed and validated in the coming years.