Andrea Leadsom, Mark Harper and Esther McVey failed to meet the required threshold of 17 votes, achieving 11, 10 and 9 respectively.
The remaining seven candidates now go through to the second round of voting by Tory MPs and will be whittled down to two, before Conservative Party members pick the next PM.
The full results were:
Boris Johnson - 114 votes
Jeremy Hunt - 43 votes
Michael Gove - 37 votes
Dominic Raab - 27 votes
Sajid Javid - 23 votes
Matt Hancock - 20 votes
Rory Stewart - 19 votes
Andrea Leadsom - 11 votes (eliminated)
Mark Harper - 10 votes (eliminated)
Esther McVey - 9 votes (eliminated)
International Development Secretary Rory Stewart defied expectations and managed to get over the line, despite starting the contest as a clear outsider.
Mr Stewart was given a boost this morning after a poll of Conservative Party members put him in second place behind Mr Johnson - though the gulf between the top two remains vast.
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Tory party reacts
A source close to Mr Johnson said: “We are pleased with the result and obviously there’s still a long way to go in the contest.”
Esther McVey, whose leadership campaign was dogged by a feud with TV presenter and former colleague Lorraine Kelly, said: “I am extremely grateful to those people who voted for me in this election and to the fantastic team who have supported my campaign.”
Justice Secretary David Gauke said Mr Stewart was now the main challenger to Mr Johnson, stating: “He’s really in with a chance and the momentum is with Rory.
“He’s causing a stir. He’s the one that looks like he can provide the real challenge to Boris.”
Former Brexit secretary Dominic Raab, who received 27 votes, said: “I’m proud and honoured to have the support of so many brilliant colleagues today.
“This campaign is just getting started and we’ve got a good base to build on.”
I’m honoured to have the support of so many brilliant colleagues today. This campaign is just getting started, and we've got a good base to build on.
I'm the change candidate who can be trusted to deliver Brexit by October, and has the vision and energy to take Britain forward.
— Dominic Raab (@DominicRaab) June 13, 2019
Thank you to my friends and colleagues in the Conservative & Unionist Party for your support. I am delighted to win the first ballot, but we have a long way to go.https://t.co/tGRXu94CmT | @BackBoris pic.twitter.com/zVBNls2rew
— Boris Johnson (@BorisJohnson) June 13, 2019
Defence Secretary Penny Mordaunt, who is supporting Jeremy Hunt’s campaign, said: “I think he’s attractive to many sides of the party because he’s a serious individual.”
What happens now?
The remaining candidates will take part in a debate on Channel 4 on Sunday, June 16.
After that, a second ballot will take place on June 18. Candidates need at least 33 votes to get through and if all of them achieve that, the person with the lowest number of votes will be eliminated.
On the same day the remaining candidates will debate on BBC1 in the evening.
A third ballot will be held on June 19 if needed, followed by fourth and fifth ballots - again only if necessary - on June 20. Ballots continue until just two candidates remain.
Conservative Party members will then vote on the final two and the winner will become Prime Minister.
Before party members vote the final two will take part in a number of hustings around the country.
The result of the ballot of Tory party members is expected to be announced in the week of July 22.