Ammonia (gas) is a covalent compound.
As there are no ions present in it, it does or conduct electricity.Ammonia gas dissolves in water to give an aqueous solution of ammonium hydroxide.
NH3 (g) + H2O (l) → NH4OH (aq)
Ammonium hydroxide is a weak electrolyte which ionises to a small extent to give ammonium ions and hydroxide ions.
Due to the presence of these ions an aqueous solution of NH3 gas in water conducts electricity.