In the last elections for big city mayors and governors, the government decided who could run for office.  They disqualified any opposition candidates they wished not to see run.  At the same time, the entire budget and propaganda/campaigns for chavista candidates were paid for with government money, none going to any oppo candidates.  The government controls or owns all broadcast television and most radio in the country. A few months ago over thirty privately owned radio stations were shut down because they carried a program critical of Chavez. Ads for chavista candidates must be run for free, oppo candidates must pay, if, that is, they are even allowed to broadcast their campaign messages.  At any time, Chavez can and does take over all broadcast media to "address the nation" for five or six hours, preempting all scheduled programs and paying advertisers.  The voting is done on government owned and programmed voting machines.  Buying votes and manipulation of poll results is rampant; all vote bribes are paid out of government funds.  Each voter must give their fingerprint when voting, and this can and has been used as a threat against any government employee voting against the party.  Government employees are also ordered to campaign and demonstrate in favor of the party, with or without pay, under threat of losing their jobs.

And that's how they achieve the so-called majority support.