Vijaykumar, who filed three set of nomination papers, came with central committee member E P Jayarajan and other party leaders, and submitted his papers to the chief election officer, officials said.
The election was necessitated following the death of former speaker, G Karthikeyan.
Congress-led UDF has fielded Karthikeyan's younger son K S Sabarinath as its candidate, while BJP's candidate is former Union Minister, O Rajagopal.
The last date for filing nominations is June 10.