The number of migrant families crossing the southwest border has once again broken records, with unauthorized entries nearly double what they were a year ago, suggesting that the Trump administration’s aggressive policies have not discouraged new migration to the United States.

More than 76,000 migrants crossed the border without authorization in February, an 11-year high and a strong sign that stepped-up prosecutions, new controls on asylum and harsher detention policies have not reversed what remains a powerful lure for thousands of families fleeing violence and poverty.

“The system is well beyond capacity, and remains at the breaking point,” Kevin K. McAleenan, commissioner of Customs and Border Protection, told reporters in announcing the new data on Tuesday.

The nation’s top border enforcement officer painted a picture of processing centers filled to capacity, border agents struggling to meet medical needs and thousands of exhausted members of migrant families crammed into a detention system that was not built to house them — all while newcomers continue to arrive, sometimes by the busload, at the rate of 2,200 a day.