Does anything else work in the lighter socket? You might have blown that fuse. And it is possible that your converter/charger unit is broken.
The fuse on the 1994 Honda Civic cigarette lighter is located under the dash on the driver's side.
The front spindle nut on a 1991 Honda Civic requires a 32mm axle nut socket.
The cigarette lighter fuse is located in the cabin fuse box on a 2001 Honda Civic. The fuse can be found in slot 18.
there is no cigarette lighter in the 96-00 civics. it should be obvious by the lack of an ashtray as well......
Check the fuse, wiring and element.