  In the Bogomol'nyi-Prasad-Sommerfield (BPS) limit of
Einstein-Yang-Mills-Higgs theory, we construct numerically a non-Abelian
wormhole supported by a phantom field. The probe limit is the Yang-Mills-Higgs
field in the background of Ellis wormhole when the gravity is switched off. The
wormhole solutions possess the Yang-Mills-Higgs hair in the presence of
gravity; Thus a branch of hairy wormhole solutions emerge from the Ellis
wormhole when the gravitational coupling constant increases. We find that the
mass of wormholes and scalar charge of phantom field increase monotonically
when the gravitational coupling constant increases. The wormhole spacetime
possesses double throat configuration when the gravitational strength exceeds a
critical value. Surprisingly, the wormholes satisfy the null energy condition
in the large gravitational strength. We also briefly discuss the redshift
factor.
