Accurate　waveform　metrology　and　uncertainty　assessment　are　essential　in　modern　communication,　optical,　and　high-frequency　electronic　industries.　The　uncertainty　assessment　of　pulse　waveform　measurements　has　traditionally　focused　on　evaluating　the　uncertainties　of　pulse　parameters　without　considering　the　complete　waveform　uncertainty.　Singular　pulse　parameters　sometimes　fail　to　fully　characterize　a　measurement　system.　In　this　paper,　a　method　based　on　the　covariance　matrix　is　employed　to　assess　the　uncertainty　of　the　complete　waveform　obtained　by　an　oscilloscope.　After　obtaining　the　uncertainty　of　the　complete　waveform　measurement　results,　pulse　parameters　are　extracted.　By　utilizing　the　principles　of　uncertainty　propagation,　the　uncertainty　of　pulse　parameters　is　assessed.　Monte　Carlo　simulation　(MCM)　is　used　to　validate　the　uncertainty　of　pulse　parameters.　©　2023　IEEE.