One of the videotapes showed one person stuffing six allegedly pro-Calderon ballots into a ballot box in Guanajuato, the home state of President Vicente Fox and a base for Calderon's National Action Party (PAN).
A second video, according to Mr Obrador, shows election poll watchers and PAN party representatives in Queretaro discussing a possible recount, after noting more ballots had been cast than the number of registered voters.
"This is irrefutable proof of general fraud in all the states, especially in the north," which voted heavily for Calderon, Mr Obrador said.
His claims about the content of the videos could not be independently verified.
Mr Obrador’s Party of the Democratic Revolution (PRD) also claimed voting was riddled with mistakes, abuses and other problems at 50,300 voting sites.
Mr Obrador has launched an official challenge to the July 2 election after losing to conservative Felipe Calderon by about 244,000 votes.
The tally meant Mr Calderon won by a little more than half a percent of the 41.7 million ballots cast.
Mexico's election tribunal took up the case after Mr Obrador's organisation delivered 900 pages documenting alleged vote fraud.
Mr Obrador’s campaign chief, Jesus Ortega, warned of nationwide protests: "The struggle will begin Wednesday, and will be ongoing, with hundreds of thousands, perhaps millions of people."
Supporters of Mr Obrador plan to gather in Mexico City's Zocalo square after marching on the capital from 300 election districts.
Mr Obrador has also alleged that Mr Fox illegally campaigned in favour of Mr Calderon, and that Mr Calderon's ruling party far exceeded campaign spending limits, and that the party bought votes.
"We are not going to recognise Calderon's triumph if it is not legitimised by a vote-by-vote recount," said Gerardo Fernandez, a PRD spokesman.
A spokesman for Mr Fox, Ruben Aguilar said that the Federal Electoral Tribunal would consider Mr Obrador's complaints.
"It is up to the electoral authorities to analyse the demands and observations about the elections process and also up to them ... to give a response," Mr Aguilar said.