Jewish presence in Cyprus begins in the ancient times. There is evidence of Jewish settlers at Amathus. In the 2nd BCE there were a considerable number of Jewish people recorded on the island. They had a close relationship with the locals and the Roman rulers at that time, liked them.
When St Paul and Barnabas arrived on the island, to convert people to Christianity, they caused problems, by attempting to convert the Jewish to Christianity.
According to the history books of the time, the Jews supported the war against the Romans and sacked Salamis and annihilated the Greek population. Apparently, they massacred 240,000 Greek Cypriots. This led to the Jews being punished. Also in the history books of the time it is stated, that in the 4th century Cypriot Jews attacked Christian monasteries (610-641).
There were two Arab raids on the island and many Cypriots were enslaved and captured.
During the Byzantine Period, Greek-speaking Jews settled in Cyprus.
During the Latin Era, in around 1110 CE, Jews were used for tax collecting.
During Lusignan rule, King Peter I welcomed Egyptian Jewish traders to the island. The Genoese, during their terrible raids of the island, stole Jewish property in Famagusta and Nicosia.
In the 16th Century, 2000 Jews were living in Famagusta. However, the Venetian authorities decided to expel all non-native Jews from the island.
During the Ottoman Era, the Jewish community thrived. There was an influx of Sephardi Jews from Ottoman lands after expulsion from Spain in 1492. Famagusta was the main centre of the Ottoman Jewish community until 1878 when the British took over the island.
During British rule, there were attempts to settle Russian and Romanian Jewish refugees. In 1933, Jews escaping Nazi Germany came to the island. They were put into detention camps because they were apparently illegally trying to enter Palestine.
In 1948, the British, confined 50,000 Jewish refugees in Cyprus.
Sources: Wikipedia