A shield for placement around burner ports in a hot air furnace for reducing turbulence in the flow of secondary combustion air entering a heat exchanger. The shield also provides for intercepting moisture that condenses along the walls of the vertically oriented heat exchanger. The heat exchanger is part of a furnace. The drip shield includes a plate having a longitudinal axis and a plurality of through-openings placed in the plate along and/or parallel to its longitudinal axis. The through-openings are spaced apart so as to be positioned between and aligned with burner ports and respective heat exchanger tube inlets of the heat exchanger. The plate is preferably profiled to have a peak to encourage condensate run-off with the plurality of through-openings being placed along or generally parallel to the peak of the plate.