In July 1974 Turkish forces invaded and captured 3% of the territory of Cyprus. After that, a ceasefire was declared.
Turkey invaded the island as a response to a military coup on the Island, which was backed by the Greek government. Cyprus had a union with Greece, and wanted to remove Turkey from the island.
Nowadays, the island is still divided. In 1974, with the peace treaty, Turkey occupied 36.2% of the island. Before 1974, the island was not divided. In 1974, the Greek military junta collapsed, and was replaced by a democratic government.
Nowadays, Turkey and Greece are still fighting, albeit with diplomatic techniques to gain control over Cyprus. The 1974 battle was the beginning of the crisis that still lasts.