Baarle-Hertog (bär`lə-hĕr`tōkh), Fr. Baerle-Duc, town (1991 pop. 2,126), Antwerp prov., N Belgium. A Belgian possession since 1479, it is an enclave (3 sq mi/7.8 sq km) and market town in S Netherlands. The sovereignty of its outlying districts was disputed by the Dutch, but was settled (1959) in favor of Belgium by the International Court of Justice.