Abstract
Our aim in this manuscript is to study 4D Einstein-Gauss-Bonnet (EGB) black hole (BH) surrounded by quintessence matter. We studied some thermodynamical properties of the model including Hawking temperature, entropy, Gibb's free energy and specific heat of the 4D EGB BH surrounded by quintessence matter. It is concluded that the Gibb's free energy is positive for all values of the horizon radius r+. Therefore the BH is not stable globally. It is also noted that the specific heat for r+<rc the BH is locally stable and for r+>rc the BH is locally unstable.
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