Nicky Morgan has said she may install a panic button at her Loughborough constituency office in the wake of the killing of fellow MP Jo Cox last week.
Mrs Morgan said an alarm might be necessary to protect her and her staff from harm from members of the public
The Secretary of State for Education was speaking after Labour MP Ms Cox, 41, was shot and stabbed in Birstall in her Batley and Spen constituency.
Ms Morgan said the tragic death of her parliamentary colleague had prompted her to consider beefing up her own security.
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She said: "I am thinking of putting in a panic button in the context of the awful events of last week and the continuous abuse that MPs suffer.
"Some of that is more serious than other stuff.
"It is something I am thinking of for my case workers as much as me.
"I am often in Westminster where security is good but they are in Loughborough all week.
"The vast majority of constituents are lovely people but there is always a concern that there are dangerous people.
"In the last six weeks we have had to call the police and ask officers to escort us home because there was someone kicking off outside the office.
"Two people in the last two weeks have been given warning notices for abuse over social media and in texts and phone calls.
"We frequently have to ask people to leave surgeries because they are getting angry or threatening.
"I need to think about the safety of my staff."
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Leicestershire police and crime commissioner Lord Willy Bach said senior officers had contacted all MPs in the area to discuss security after Ms Cox's death.
Ms Morgan confirmed she had discussed security with officers and said she would reluctantly consider having a police presence at her surgeries.
But she added: "I wouldn't be keen on that not lease because sometimes people want to talk me to about the police and they may feel uneasy about that with an officer present
"There has to be a balance between ensuring safety and making sure MPs are accessible.
"On Saturday I was at Sileby Gala mingling with everyone and it was fine.
"MPs do not want to cut themselves off."
Lord Bach said: "I have spoken a lot with chief constable Simon Cole since the terrible events of next week and I know senior officers have been in touch will all our MPs to discuss their needs.
"It is a real concern and we do live in troubled times but attacks on MPs are rare.
"We must not get carried away but it is vital MPs have decent security and there is an issue about them meeting people without appointments.
"That is a concern."
MPs today returned to the House of Commons to pay their respects to their slain colleague.
Many wore white roses in memory of the Yorkshire MPs whose two young children and husband Brendan watched from the public gallery.
52-year-old Thomas Mair, from Birstall, has been charged with murdering Ms Cox, grievous bodily harm, possession of a firearm with intent to commit an indictable offence and possession of an offensive weapon in connection with the attack on the MP.
He refused to give his correct name and did not reply when asked to confirm his address and date of birth at an appearance at Westminster Magistrates' Court on Saturday.
When asked to confirm he was Thomas Mair at the Old Bailey today, he replied: "Yes, I am."
There was no application for bail and he was remanded in custody.
He will appear at the same court for a preliminary hearing on Thursday.