Wiktionary
a. 1 That travels across a channel of water; relating to somewhere on the opposite side of the channel 2 # (context British English) Relating to the http://en.wikipedia.org/wiki/English%20Channel; to, from, or on the Continent; involving both Britain and the Continent, especially France 3 # (context Irish British dated English) Relating to the body of water between the islands of http://en.wikipedia.org/wiki/Great%20Britain and http://en.wikipedia.org/wiki/Ireland (the http://en.wikipedia.org/wiki/Irish%20Sea, http://en.wikipedia.org/wiki/Saint%20George's%20Channel, and the http://en.wikipedia.org/wiki/North%20Channel); to, from, or in the other of the two islands alt. 1 That travels across a channel of water; relating to somewhere on the opposite side of the channel 2 # (context British English) Relating to the http://en.wikipedia.org/wiki/English%20Channel; to, from, or on the Continent; involving both Britain and the Continent, especially France 3 # (context Irish British dated English) Relating to the body of water between the islands of http://en.wikipedia.org/wiki/Great%20Britain and http://en.wikipedia.org/wiki/Ireland (the http://en.wikipedia.org/wiki/Irish%20Sea, http://en.wikipedia.org/wiki/Saint%20George's%20Channel, and the http://en.wikipedia.org/wiki/North%20Channel); to, from, or in the other of the two islands
Usage examples of "cross-channel".
East of Romney, Folkestone and Dover had small usable harbours, and round the corner was Sandwich, which was a principal cross-Channel port and a base for the royal ships.