KY 1408 begins at an intersection with KY 362 in Shelby County, heading northwest on two-lane undivided Floydsburg Road. The road passes through farmland with some woods and homes. The route crosses into Oldham County and the name changes to Todds Point Road. KY 1408 intersects the western terminus of KY 1818 and runs through more rural areas with some residences. The route briefly turns west onto Old Floydsburg Road before heading northwest along Floydsburg Road. KY 1408 heads into Crestwood and passes homes and businesses, coming to its northern terminus at KY 146.