The remarks were made by Fawzi Nuwairi, First Deputy of the Speaker of the House of Representatives, during his meeting with Stephanie Williams, Deputy Special Representative of the UN Secretary-General for Political Affairs, in the capital Tripoli.
Nuwairi asked the UN to give "greater attention to the security and economic aspects," according to a parliament statement.
He also highlighted the need for an integrated action plan to resolve the Libyan crisis on the political, security and economic levels in order to achieve stability in the country.
Oil-rich Libya has been plagued by insecurity, political division, and economic instability since the 2011 uprising that toppled former leader Muammar Gaddafi's regime.
Despite a UN-sponsored political agreement signed in December 2015, Libya remains politically divided between rival authorities in the east and west of the country, both competing for legitimacy.