Two fires at the Phoenix Hotel and the Bell Hotel led to charges of arson, before alleged sexual assaults in Epping last week.
Now, MP for Epping Forest, Dr Neil Hudson, and MP for Brentwood and Ongar, Alex Burghart, are saying that the Home Office does not have a “grasp about the seriousness” of the situation or local community safety.
They are calling for the hotels to be closed and alternative arrangements to be made for residents.
An urgent meeting with the Home Secretary has been requested.
The MPs said in a joint statement: “The situation regarding the use of asylum hotels in Epping Forest District has become increasingly alarming and distressing in recent days.
“From the fires at the Phoenix Hotel and Bell Hotel a few weeks ago leading to a man being charged with arson, and now the alleged sexual assaults in Epping last week, leading to a man being charged, our local communities are becoming increasingly distressed.
“Together as neighbouring Constituency MPs, along with Epping Forest District Council, we are calling on the Government to immediately close the Bell and Phoenix Hotels and make alternative arrangements accordingly.”
On March 28, The Phoenix Hotel in North Weald Bassett was burned down.
A week later, on April 5, firefighters were called to the Bell Hotel in Epping, after reports of smoke coming from a ground-floor bedroom.
Police say a man staying at the second hotel was arrested.
Essex Police said Rawand Abdulrih, 36, of Epping, was charged with arson with intent to endanger life, on March 28 and April 5.
Hadush Gerberslasie Kebatu, 38, of High Road in Epping, an asylum seeker from Ethiopia, denied three sexual assaults in two days – allegedly eight days after he arrived in the UK by boat – at a hearing at Colchester Magistrates’ Court on Thursday, July 10.
He also denied charges of inciting a girl to engage in sexual activity and harassment without violence.
Mr Kebatu would face a trial within 56 days, District Judge Christopher Williams said.
Essex Police said it became aware of alleged offences from Monday after a girl reported concerns on Tuesday.
Supt Tim Tubbs said: “We’re aware of a significant amount of public discussion around this case – and I understand that.”
Targeted police patrols would continue in the town, he added.
Chris Whitbread, the Conservative leader of Epping Forest District Council, thanked officers for their “rapid and effective” response.
“The events that took place in Epping on Tuesday are both deeply disturbing and extremely concerning,” he said, adding the local authority had opposed a local hotel being used to house asylum seekers.
A Home Office spokeswoman told the BBC the asylum system was under “unprecedented strain”.
“That was the situation the government inherited, but we have begun to restore order, with a rapid increase in asylum decision-making and the removal of more than 24,000 people with no right to be in the UK,” she said.
“By restoring order to the system, we will be able to end the use of asylum hotels over time, and reduce the overall costs to the taxpayer of asylum accommodation.”
