  We prove the existence of definable retractions onto arbitrary closed subsets
of $K^{n}$ definable over Henselian valued fields $K$. Hence directly follows
non-Archimedian analogues of the Tietze--Urysohn and Dugundji theorems on
extending continuous definable functions. The main ingredients of the proof are
a description of definable sets due to van den Dries, resolution of
singularities and our closedness theorem.
