Display Screen with Icon for a Building Controller Lock Screen

The file of this patent contains at least one drawing/photograph executed in color. Copies of this patent with color drawing(s)/photograph(s) will be provided by the office upon request and payment of the necessary fee.

FIG. 1 is a first embodiment of a display screen with icon for a building controller lock screen; and,

FIG. 2 is a second embodiment thereof.

The broken lines showing the display screen form no part of the claimed design. The dotted broken lines showing portions of the icon form no part of the claimed design.