As　an　effective　travel　demand　management　means,　park-and-ride　(P&R)　mode　is　an　important　part　of　urban　traffic.　In　a　traffic　corridor　with　P&R　service,　suppose　that　the　travel　time　on　highway　is　uncertain,　a　cumulative　prospect　theory　(CPT)-based　travel　decision-making　model　is　established　with　two　travel　modes　of　driving　all　the　way　and　(P&R).　With　this　setting,　the　effect　of　various　factors　such　as　the　transit　fare　rate,　the　parking　fee　and　the　total　travel　demand　on　the　CPT-based　and　expected　utility　theory　(EUT)-based　equilibrium　results　are　compared.　In　addition,　the　sensitivity　analysis　focus　on　CPT-related　parameters　are　also　performed.　The　numerical　results　in　our　case　show　that　the　equilibrium　flow　on　P&R　mode　is　always　underestimated　in　an　EUT-based　model,　especially　for　a　low　total　travel　demand.　Also,　it　is　found　that　reducing　the　transit　fare　rate　or　parking　fee　for　P&R　station　and　raising　the　parking　fee　for　CBD　has　the　same　effect　on　promoting　more　commuters　transfer　to　P&R　mode,　whatever　CPT-based　or　EUT-based　model　is　employed.　Furthermore,　commuter’s　reference　dependence　characteristic　is　also　observed　in　a　CPT-based　model,　and　it　is　especially　noticeable　when　the　road　uncertainty　is　large.　©　2017,　Operations　Research　Society　of　China,　Periodicals　Agency　of　Shanghai　University,　Science　Press,　and　Springer-Verlag　Berlin　Heidelberg.