The approvals, after seven weeks of scrutiny from the Guardian Council, a powerful constitutional watchdog with veto power, were granted to 51 per cent of those who originally sought to become lawmakers.
Anyone wanting to become a member of parliament or Iran's Assembly of Experts, a committee of 88 clerics that will be elected on the same day as lawmakers, must be vetted by the council.
The official campaign will start on Thursday, meaning candidates have only a week to convince voters.
The end of vetting and final numbers for parliament included 38 previously rejected candidates from across the country, Interior Ministry spokesman Hossein Ali Amiri told state television.
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Reformists and moderates who protested against a massive rejection of their candidates last month have pledged to fight on and plan to present candidates in all constituencies.
Parliament is dominated by conservatives, partly because reformists mostly boycotted the last legislative elections four years ago in protest at then-president Mahmoud Ahmadinejad's re-election in 2009.
With a population of more than 12 million, Tehran has 30 seats with each parliamentary bloc offering a list of 30 candidates, whereas many towns have only one lawmaker.
Reformists, outnumbered otherwise, have formed an alliance with moderate parties close to President Hassan Rouhani, who succeeded Ahmadinejad in 2013.
Iran does not follow a traditional political party system and instead relies on coalitions of candidates, with voting and campaigning usually centred on those lists rather than on individuals.
Reformists, who will be led by Mohammad Reza Aref, a presidential candidate who stood aside in 2013 paving the way for Rouhani's victory, have yet to publish their final list.
A third middle ground list has emerged: the Voice of the Nation.
It is led by Ali Motahari, a moderate conservative lawmaker known for his controversial positions including opposition to the ongoing house arrest of Mousavi and Karroubi.