The entire route is in the town of Anthony, which is located across the state line from New Mexico.

[2] FM 1905 begins at the state border as a continuation of NM 225, and ends at Interstate 10 in Anthony.

The road, known as West Washington Street, parallels the state line as it heads eastward towards downtown Anthony.

FM 1905 passes by a city-maintained park complex before leaving downtown Anthony.

[4] It becomes known as Antonio Street as it enters the outskirts of Anthony, where it intersects with Spur 6 before coming to an end at exit 0 of I-10.