Ekweremadu gave the advice on Sunday, while speaking at a dinner organised to celebrate the re-election of Governor Olagunsoye Oyinlola of Osun by his Committee of Friends in Ada, near Osogbo.
He stressed the need for such cooperation, saying that it would enhance the interests of the people who elected them into office.
He advised the state lawmakers to emulate members of the National Assembly who, he said, had resolved to work in harmony with the federal executive.
Ekweremadu noted that the people want a pragmatic socio-economic development which could only materialize in a “rancour-free environment among the organs of government’’.
He cautioned state lawmakers against unnecessary bickering, saying that healthy discussions would always produce desirable results.
Ekweremadu described Oyinlola as one of the country’s political assets, commending him for the good working relationship between him, members of the National Assembly from the state and the state legislators.
Pastor Matthew Ashimolowo of Kingsway Church in London, who also attended the event, described the state government as “God-sent” and prayed for peace and harmony in the state.
Speaking on behalf of the Committee of Friends, Prince Tunde Ponle, said that the dinner was organised to celebrate the governor’s victory at the April polls and express solidarity with him.
Responding, Oyinlola urged the people of the state to be vigilant, alleging that some people were plotting to destabilise the state and destroy its peace and progress.
The News Agency of Nigeria (NAN) reports that dignitaries at the dinner included Speaker of the House of Representatives, Mrs Olubunmi Etteh.