The CMS experiment has been designed with a 2-level trigger system, the Level 1 Trigger (L1), implemented on custom-designed electronics, and the High Level Trigger (HLT), a streamlined version of the CMS off-line reconstruction software running on a computer farm. We will present the performance with the specific algorithms developed to cope with the increasing LHC pile-up and bunch crossing rate using 13 TeV data during 2015, and prospects for improvements brought to both L1 and HLT strategies to meet the new challenges for 2016 scenarios with a peak instantaneous luminosity of $1.2 \times 10^{34}$cm$^{-2}$s$^{-1}$ and 30 pileup events.