Conservative senator Cory Bernardi​ has called for Parliament to be suspended until the constitutional crisis engulfing a growing number of MPs can be resolved.

The High Court will determine whether a slew of MPs, including Deputy Prime Minister Barnaby Joyce, were eligible to be elected after revelations they may have held dual citizenship.

Both major parties have threatened to refer other MPs to the court.

Senator Bernardi, who has led the Australian Conservatives after breaking away from the Liberal Party, warned the crisis had caused people to lose faith in Federal Parliament.