AKCAKALE, Turkey — The Turkish Army halted its incursion into a Kurdish-run area of northern Syria on Wednesday morning, after a deal between the Turkish and Russian governments promised that Kurdish fighters would retreat from the Turkish-Syrian border.

In a statement, the Turkish defense ministry said it would not advance beyond an area of roughly 900 square miles that Turkish-led forces have seized from Kurdish control since invading the area two weeks ago.

“At this stage, there is no further need to conduct a new operation outside the present operation area,” the statement said.

The announcement followed an agreement on Tuesday night between President Recep Tayyip Erdogan of Turkey and his Russian counterpart, Vladimir V. Putin, that significantly redrew the battle lines of the eight-year-old Syrian conflict.