  Recently Glavan and Lin [Phys. Rev. Lett. 124, 081301 (2020)] formulated the
Einstein-Gauss-Bonnet (EGB) gravity by re-scaling GB coupling constant as
$\alpha/(D-4)$ and taking limit $D \to 4$ at the level of field equations. The
GB contribution, in the resulting novel 4D EGB theory, makes a nontrivial
contribution and the theory preserves the number of degrees of freedom thereby
free from the Ostrogradsky instability, and also bypasses the Lovelock theorem.
We obtain an exact spherically symmetric wormhole solutions in the novel 4D EGB
gravity for an isotropic and anisotropic matter sources. In this regard, we
consider also a wormhole with a specific radial-dependent shape function, a
power-law density profile as well as by imposing a particular equation of
state. To this end, we analyze the flare-out conditions, embedding diagrams,
energy conditions and the volume integral quantifier. In particular our $-$ve
branch results, in the limit $\alpha \rightarrow 0$, reduced exactly to
\emph{vis-$\grave{a}$-vis} 4D Moriss-Thorne wormholes of GR.
