The House procedural vote comes a week after Senate Democrats blocked a procedural vote to advance the NDAA in the upper congressional chamber.
If the bill to end congressional stock trading passes the House, it would likely have an uphill climb in the Senate, where 60 votes are needed.
The budget resolution would unlock the process on a $95 billion reconciliation bill that can bypass the Senate filibuster.
The package also wraps in a critical defense policy bill and legislation to ban members of Congress and their immediate family from stock market trading.