Earlier, Turkey's top diplomat, Mevlut Cavusoglu, had been scheduled to address a campaign rally at the Turkish consulate in Rotterdam but was not allowed to land in the Netherlands after he threatened the country with sanctions should he be denied entry.
The Dutch Government said in a statement that allowing Cavusoglu to hold the rally posed a security risk and his threat "made the search for a sensible solution impossible".
The Government had previously said a rally could not be held.
The Turkish Foreign Ministry summoned the Dutch charge d'affaires to Ankara and told the Netherland's ambassador, who is currently not in the country, to refrain from returning for some time.
A statement from the ministry also threatened "serious consequences in the diplomatic, political, economic and other fields".
The Dutch embassy in Ankara and consulate in Istanbul were then reportedly closed off for security concerns, according to Anadolu.
Turkish President Recep Tayyip Erdogan then called the Dutch Government "Nazi remnants", and warned there could be retaliatory measures.
"From now on, let's see how your planes come to Turkey," Erdogan said at a rally in Istanbul, according to Anadolu, the state-run news agency. He also called the Dutch "fascists".
Several Turkish campaign rallies in support of the April 16 referendum have been cancelled in European countries, including Germany and Austria.
Hundreds of Turkish government supporters had gathered outside the consulate in Rotterdam, some chanting slogans in favour of Erdogan and waving red-and-white Turkish flags.
Speaking to reporters in Istanbul airport, Cavusoglu - who is expected in France tomorrow - called the Dutch action "scandalous" and "unbecoming of diplomatic conventions".
He accused the Dutch Government of taking sides in the referendum, saying the Netherlands was afraid of a "yes" outcome because then Turkey "will become stronger, a more independent country".
- DPA, AAP
