"It has been my dream all my life," De la Torre told a news conference on accepting the post, which he will begin once his club Toluca have completed their campaign in the Apertura championship that ends in December.
"Once I've finished that commitment, I'll take charge of the national team," said the 44-year-old nicknamed Chepo.
Aguirre resigned in July after Mexico's second round defeat by Argentina at the 2010 World Cup finals in South Africa and the position has been occupied in an interim capacity by several coaches who presided over friendlies since then.
De la Torre was originally competing for the job with Monterrey's Victor Vucetich, who pulled out over the weekend citing family reasons.
At the height of the crisis, the players threatened to boycott team call-ups and De la Torre's brother Nestor resigned from the post of FMF national teams director.
'DISCIPLINE, ORDER'
"Discipline and order are valued in all institutions. We will have to agree on order, discipline and what it means to be in a national select, to be an example in all aspects, every day, 24 hours a day and everywhere," De la Torre said.
He added that selection to the team was open to all players and he would call up "those in the best condition, with the best ability and who are committed to being in a national select with all that means."
Toluca are the reigning champions after winning another title in the 2009/10 season's "Bicentenario" Clausura championship this year.
