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Based on (10087±44)×106 𝐽/𝜓 events collected with the BESIII detector at BEPCII, the double Dalitz decay 𝜂′→𝑒+𝑒−𝑒+𝑒− is observed for the first time via the 𝐽/𝜓→𝛾𝜂′ decay process. The significance is found to be 5.7𝜎 with systematic uncertainties taken into consideration. Its branching fraction is determined to be ℬ(𝜂′→𝑒+𝑒−𝑒+𝑒−)=(4.5±1.0(stat)±0.5(sys))×10−6.