The data is from fiber Cerenkov diagnostics, which is taken in intense laser-plasma interactions experiments. This work has been illustrated in the paper “Cherenkov radiation-based optical fibre diagnostics of fast electrons generated in intense laser-plasma interactions”. The data is taken to prove that it is valid to use optical fiber to measure fast electrons generated in intense laser-plasma interactions. The creation method and description of the data can be find in the manuscript.STFC: Access time: experiment (App. No. 16110035) Newton China-UK joint research grant: on laser-ion acceleration and novel Terahertz radiation EPSRC grant EP/K022415/1 National Basic Research Program of China (Grants No. 2013CBA01501) National Nature Science Foundation of China (Grants No. 11520101003) National Nature Science Foundation of China (Grants No. 11535001) Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDB16010200) Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDB07030300) National Postdoctoral Program for Innovative Talents (Grants No. BX201600106)