  We investigate the thin-shell wormholes constrained by cosmological
observations for the first time in the literature. Without loss of generality,
we study the thin-shell wormholes in $\omega$CDM model and analyze their
stability under perturbations preserving the symmetry. Firstly, we constrain
the $\omega$CDM model using a combination of Union 2.1 SNe Ia data, the latest
$H(z)$ data and CMB data. Secondly, we use the constrained dark energy equation
of state (EoS) $\omega$ which lies in $[-1.05,-0.89]$ to investigate thin-shell
wormholes of various black hole spacetimes. We find that the stable
Schwarzschild and Reinssner-Nordstr\"{o}m thin-shell wormholes constrained by
cosmological observations do not exist. In addition, the method we developed
can be applied into exploring the stable thin-shell wormholes from any black
hole spacetime in the framework of any cosmological theory.
