We studied the statistical and solar cycle distribution of daily flux $\ge 10^{9}\mbox{ cm}^{-2}$ d−1 sr−1 for $E>2$ MeV electrons Observed by GOES from 1987 to 2019. There were 282 days with daily flux $\ge 10^{9}\mbox{ cm}^{-2}$ d−1 sr−1 for $E>2$ MeV electrons during this period. Of the 282 days, 71.63% of them have the daily flux <2.0 $\times 10^{9}\mbox{ cm}^{-1}$ d−1sr−1, 19.86% of them with the daily flux fall in the interval ≥2.0 $\times 10^{9}\mbox{ cm}^{-2}$ d−1 sr−1 and <3.0 $\times 10^{9}\mbox{ cm}^{-2}$ d−1 sr−1, 4.26% of them have the daily flux in the interval between ≥3.0 $\times 10^{9}\mbox{ cm}^{-2}$ d−1 sr−1 and <4.0 $\times 10^{9}\mbox{ cm}^{-2}$ d−1 sr−1, and 4.26% of them have the daily flux ≥4.0 $\times 10^{9}\mbox{ cm}^{-2}$ d−1 sr−1. The daily flux $\ge 10^{9}\mbox{ cm}^{-2}$ d−1 sr−1 for $E>2$ MeV electrons that lasted for 1, 2, 3, 4, 5, 6, 7 and 10 days accounted for 18.44%, 17.02%, 20.21%, 15.6%, 8.87%, 6.38%, 9.93% and 3.55%, respectively. Among all the daily fluxes $\ge 10^{9}\mbox{ cm}^{-2}$ d−1 sr−1, 47.79% of them occurred in the northern hemisphere spring, 36.03% of them occurred in the fall, and 16.18% of them occurred in the other months. More than 82% of the daily flux $\ge 10^{9}\mbox{ cm}^{-2}$ d−1 sr−1 for $E>2$ MeV electrons appeared in the descending phase for each solar cycle. The greater percentage of the electrons of daily flux $\ge 10^{9}\mbox{ cm}^{-2}$ d−1 sr−1 for $E>2$ MeV occurred during the descending phase for the solar cycle with higher amplitude. Also, for the solar cycle with higher amplitude, the lower the percentage of the electrons of daily flux $\ge 10^{9}\mbox{ cm}^{-2}$ d−1 sr−1 of $E>2$ MeV occurred in the period from two years before to three years after the solar cycle peak.