"incessant conflict" is correct and usable in written English.
You can use it to describe a situation in which two parties are in constant disagreement, for example: "The incessant conflict between the two countries hindered any attempts at progress."
But sometimes the occasional lover's quarrel gives way to incessant conflict.
The anarcho-syndicalists' strategy called for sustaining militancy by creating an atmosphere of incessant conflict, which would culminate in a massive general strike.
Throughout the incessant conflict that has dragged on for more than five years, most have been exposed to continuous stress and violence such as loss of family members, arrests, shelling, house demolitions, closures, and curfews.
As a young Communist in the 1920's he was deeply enmeshed in the party's incessant factional conflicts; for a couple of years he headed the American Communist Party, until he was ousted on Stalin's orders.
In 1988, in the midst of conflict, incessant Ethiopian air attacks meant we could only travel at night, and the devastating effects of the then 27-year war between Eritrea and Ethiopia were painfully plain.
In the fall of 1932, after incessant arguments and conflicts between the followers of Ortega and Azaña reached the point where communication became virtually impossible, Ortega left active politics.
But this has instead brought the deadliest phase of the conflict with incessant attacks on poorly defended rural villages and smaller towns.
While Trump may have overdone it when it comes to creating conflict, his incessant ability to create feuds with fellow celebrities, insult his fellow candidates and hold controversial press conferences ensures there is always a new narrative available to create Trump stories about.
The city, in existence since Achaemenian times, long suffered from inroads of the Turkmen tribes who occupied the plain north of the Qareh River and was subjected to incessant Qājār-Turkmen tribal conflicts in the 19th century.
But Mr. Maturo returned him to prominence, and stood by him in an era when crime rates were low but conflict in the department was incessant — and, finally, after a two-and-a-half-year federal investigation focused on how the department dealt with minorities.
The letter, which has been posted on the internet, says: "With the incessant growth of the number of urban Christians … the conflict between State and church of this sort is likely to continue to break out.
