Delta Air Lines said on Wednesday that it would cut some of its international flights in coming months as the rising value of the dollar eroded revenue abroad.

Delta reported its highest first-quarter earnings and said it would continue to post record profit margins in the next quarters as it benefited from falling oil prices.

In the first quarter, Delta reported net income of $746 million, up from $213 million in the period last year. Its operating margin in the quarter was 14.9 percent, a level seldom seen in the airline business, largely because of a drop in fuel costs.

The airline, based in Atlanta, said it planned to cut some winter flights as foreign sales weakened. Because of growth in domestic service, however, Delta expects its total capacity in the fourth quarter to remain flat.