The Chief Adviser made the call when Canadian High Commissioner to Bangladesh Lilly Nicholls called on the head of the Interim Goverment at the State Guest House Jamuna in central Dhaka.
Professor Yunus recalled his long relationships with Canada including its top politicians and development agencies, saying his government needs Canadian support to boost economic growth. He said his story has been included in the Canadian school textbooks.
"We need big investment," he said, adding the Interim Goverment inherited an economy, which was in total mess with a huge amount of debt being accumulated.
"Our first priority is to fix the economy," he said. He said the government was also restoring vital institutions broken by the previous regime and was "bringing order and clarity in governance."
The Canadian High Commissioner said her government was ready to support the Chief Adviser and the Interim Goverment.
She said Canada would be keen to boost food security in Bangladesh by supplying fertilisers and essential commodities.
She said Bangladesh must ensure labour rights in factories in an effort to continue to enjoy trade preferences from the North American country.
Professor Yunus said his government would uphold labour rights "at par with the ILO (International Labour Organisation) standards" in order to address concerns of the brands who purchase clothing from Bangladesh and international investors.
Ms. Nicholls said Canada was also interested in supporting the UN fact-finding mission on its move to establish justice and accountability on the massacre committed in July and August.
Yunus said the students-led revolution has ushered in a new ear of hope for the country. "These are historical opportunities. These chances may never come back," he said.
He said important electoral reforms will be carried out before the country goes to vote. Under the previous government, "the election commission was turned into an election manipulation commossion," he said.
The Canadian High Commissioner expressed her "deep concern" over the security situation in the Rohingya camps in Bangladesh's siutheast and escalating violence affecting Rohingyas living in Myanmar's Rakhine state.
She said Canada has contributed more than 600 million dollars for Rohingya humanitarian responses and called for livelihood opportunities for the Rohingya people.
The Chief Adviser called for easing overcrowding in the Rohingya camps by relocating some Rohingya from the Coz's Bazar camps. He said his goverment would do its best to provide hope to the Rohingya young people.