Nanoindentation　tests　on　the　Ti20Zr20Hf20Be20(Cu20-xNix)　(x　=　0,　12.5,　20　at.%)　high　entropy　bulk　metallic　glasses　(HE-BMGs)　indicate　both　their　average　hardness　and　moduli　show　a　significant　loading　strain　rate-dependent　behaviour.　In　special,　the　strain　rate　sensitivity　of　hardness　measured　for　the　prepared　TiZrHfBeNi　HE-BMG　is　up　to　0.056　which　is　the　highest　value　reported　for　BMGs　so　far.　Such　high　strain　rate　sensitivity　of　hardness　is　likely　due　to　the　high-entropy　effect,　which　makes　the　amorphous　structure　more　homogeneous.　In　addition,　the　high　entropy　coupled　with　amorphous　structure　manifests　as　small　shear　transformation　zone　(STZ)　volumes　that　could　make　the　shear　bands　hard　to　be　initiated.　(c)　2018　Elsevier　B.V.　All　rights　reserved.