The intelligence information has prompted the New Zealand Government to update its travel advice for Turkey and for those attending commemorations on the Gallipoli Peninsula.
While travel advice has changed, the level of risk remains the same, McCully said.
"The New Zealand Government continues to advise against all tourist and other non-essential travel to Ankara and Istanbul, and recommends caution in Gallipoli and elsewhere in Turkey due to the heightened threat of terrorism and potential for civil unrest," he said.
"Higher risk levels are in place along the border with Syria and in south-east Turkey.
"New Zealanders throughout Turkey are advised to exercise a high degree of vigilance in public places, keep themselves informed of potential risks to safety and security by monitoring the media and other local information sources, and follow any instructions issued by the local authorities at all times."
McCully says he welcomes Turkey's "ongoing commitment to providing a high level of security to New Zealanders" attending Anzac Day commemorations in Gallipoli.
However, he "strongly encourages" all Kiwis travelling to Gallipoli to register on Safe Travel and monitor the travel advice which will be kept under close review in the lead-up to the event.
Meanwhile, Australian officials said today they had received information that terrorists may be planning to attack the service at Gallipoli.
Foreign Minister Julie Bishop said in a statement that Turkish authorities were aware of the information "and traditionally provide a high level of protective security around Anzac Day commemorations on the peninsula".
"The Australian government has received information to suggest terrorists may seek to target ANZAC Day commemorations on the Gallipoli Peninsula," Bishop said in an emailed statement.
Dan Tehan, Australia's minister for veteran affairs, said intelligence gathered did not indicate a specific plan, but rather a general aim.
Australia updated its travel advice for Turkey today, but did not change its statement that recommends visitors exercise a high degree of caution in the country and reconsider the need to visit Ankara and Istanbul.
Despite urging Australians to reconsider any plans to attend the annual event, Tehan said he was confident Turkey would ensure sufficient security.
"The Turkish authorities are taking this extremely seriously. The celebrations on Gallipoli are as important to the Turkish authorities and Turkish people as they are to Australians," Tehan told reporters.
Anzac Day, on April 25, marks the first major battle involving troops from Australia and New Zealand in Gallipoli, Turkey in 1915. Hundreds of Australians and New Zealanders make a pilgrimage to the site every year for a military dawn service.
- additional reporting Reuters
