The coupling of the 2n-dimensional Wess-Zumino-Witten action to gauge fields is discussed and a simple manifestly gauge-invariant form of the gauged Wess-Zumino term is found which is an integral over a (2n + 1)-dimensional space whose boundary is space-time. In two and four dimensions, our actions give simple forms for the action describing coset conformal field theories and the low-energy QCD effective action, respectively.