  In this letter we present an exact spherically symmetric and magnetically
charged black hole solution with exponential model of nonlinear electrodynamics
[S. Kruglov, Annals Phys. 378, 59-70 (2017)] in the context of 4D
Einstein-Gauss-Bonnet (EGB) gravity. We show that our $-$ve branch, in the
limit of GB coupling coefficient $\alpha \rightarrow 0$ and the nonlinear
parameter $\beta \to 0$, reduces to the magnetically charged black hole of
Einstein-Maxwell gravity in GR. In addition we study the embedding diagram of
the black hole geometry and the thermodynamic properties such as the Hawking
temperature and the heat capacity of our black hole solution.
