The North American Free Trade Agreement (NAFTA) between Canada, Mexico and the United States is also a key factor in future worldwide relations.
He wants Trump to help pay for economic development in Mexico so Mexicans don't leave to work in the United States.
Much remains to be determined about how Lopez Obrador's often nebulous campaign proposals will manifest themselves in government.
"We're going to accompany the current government in this negotiation, we're going to be very respectful, and we're going to support the signing of the agreement", he told Milenio TV. "There is going to be an orderly but also deep change, because we are going to banish corruption, the main problem facing Mexico". "We are going to extend our frank hand to seek a relation of friendship, I repeat, of cooperation with the United States".
Anti-establishment leftist Andres Manuel Lopez Obrador swept to victory in Mexico's presidential election Sunday, in a political sea change driven by voters' anger over endemic corruption and brutal violence.
Lopez Obrador took between 53 and 53.8 per cent of the vote. That compares to 26.1 percent for former speaker of Congress and PAN candidate Ricardo Anaya and 20.8 percent for ex-finance minister Jose Antonio Meade of the PRI party.
Lopez Obrador has promised a "transformation" of Mexico and pledged to give scholarships or paid apprenticeships to youth, and increase support payments for the elderly.
But Trump's national security adviser, John Bolton, suggested that the Republican president could find common ground with Lopez Obrador, predicting "some surprising results".
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Mexico faces many challenges and threats.
Lopez Obrador previously vowed to throw the energy reform out but now says contracts merely will be reviewed for any illegalities.
The victory was a vindication for Lopez Obrador, who was written off by many critics after narrowly failing to capture the presidency at his first bid in 2006.
Lopez Obrador struck a conciliatory tone in an acceptance speech Sunday night, saying he would pursue fiscal discipline and respect the independence of Mexico's central bank.
Mexico's peso surged on Tuesday by the most in over two years, boosted by a global emerging markets rally and soothing comments from the country's newly elected leftist president that he will not ramp up spending.
Media outlets usually try to compare AMLO to other world leaders and politicians in an attempt to understand him in an worldwide context where many are not familiar with him.
Furious at spiraling corruption and violence, Mexican voters unleashed a political quake Sunday by electing a leftist firebrand as president and giving him a broad mandate to overthrow the political establishment and govern for the poor.
Mexican presidents serve six years and can not be re-elected. Lopez Obrador's tall promises are also tempered by a degree of realism - he has said he will continue to negotiate the North American Free Trade Agreement.
"They will inherit the talks where they are - now at a standstill, largely given USA recalcitrance to compromise with its neighbours", she said, noting that Mexico has imposed its own retaliatory tariffs and the new administration would likely follow the same approach.