John Les says his private member's bill, which he originally introduced last year, will provide the legal framework for such elections.
B.C. residents would be able to vote for Senate nominees whose names would then be submitted to Ottawa for appointment to the upper chamber.
Les says his bill responds to the federal government's plan to adopt term limits for senators and seek provincial consultation on Senate appointments.
He says he also wants the Ottawa to increase the number of senators B.C. has, because the province is under represented in the Senate.