The High-Luminosity LHC (HL-LHC) will provide Standard Model measurements of unprecedented precision, as well as searches for new physics with significantly enhanced discovery potentials. The Compact Muon Solenoid (CMS) experiment is planning to replace entirely its trigger and data acquisition systems to pursue this ambitious physics program. Recording, reconstructing, and analyzing interesting events will be a rather challenging task, in an environment of 200 proton-proton interactions per LHC bunch crossing. The new Level-1 Trigger architecture for the HL-LHC will achieve a significantly improved performance by utilizing tracking information, taking advantage of the higher granularity of the upgraded detectors, and utilizing precise timing information. In this report, we present several trigger algorithms for the upgraded Phase-2 trigger system, along with their expected performance.