This　paper　studies　the　traffic　behavior　of　travelers　who　drive　from　living　areas　to　workplaces　through　bottleneck　roads　during　the　early　rush　hours　when　the　travel　time　on　the　road　is　uncertain.　Based　on　the　travel　time　which　is　assumed　stochastic　and　follows　a　uniform　distribution,　the　equilibrium　properties　of　the　proposed　model　are　derived　and　individual　travel　cost　is　obtained.　According　to　the　assumptions,　three　possible　departure-time　intervals　have　been　considered　when　users　always　arrive　early,　arrive　early　or　late,　always　arrive　late.　Travelers＇　travel　choice　behaviors　are　analyzed　in　detail　and　equilibrium　is　achieved　with　these　three　situations.　The　results　show　that　even　if　they　start　at　the　same　time,　they　may　arrive　early　or　late,　but　not　necessarily　early　or　late.　Numerical　examples　verify　the　theoretical　analysis,　and　it　is　found　that　the　time　interval　of　arriving　at　the　workplace　also　changes　when　the　stochastic　degree　of　travel　time　increases.