In the year 1760 the French/Indian War was nearing an end (in 1761 the English would conquer Montreal and force French surrender). However, the start of this conflict in the mid-1750's was in regards to the American colonists advancement into the frontier regions (Ohio Valley). The French had been constructing a fort at the Ohio Forks (or the Three Rivers area in today's Pennsylvania where the current city of Pittsburgh is located). This began the conflict and ultimately is much the same reason why there continued to be "conflict" in the years after the war, 1760-1775, as your question indicates.
The English, while they claimed victory in the French/Indian War, never really whole heatedly got France out of the frontier region and the Indians never really settled for a European form of surrender; as it more customary in their culture to fight until the opposition was conquered and/or eliminated. The result was Indian attacks throughout the American frontier led by Chief Pontiac. American colonists (settlers) expected British support to stop these continued Native American attacks but received no real military assistance. Rather the Parliament (English Government) passed the Proclamation (Line) Law in 1763. This was an imaginary line prohibiting American colonial settlement beyond the Appalachian Mountain range. The intent of this law was to keep colonists safe along the eastern seaboard where more of a military presence was available. The American colonists did NOT consider this to be done as a safety precaution but rather a limitation on their rights to settle land acquired from the war. This law was the first of many subsequent laws and/or taxes passed by the English Parliament that were considered to egregious by the American colonists and would ultimately lead to the declaring of independence from their then sovereign.