A peak of more than 2,000 people reported experiencing problems as of Monday morning. The company said it does not have an estimated time for when broadband services will resume as normal.
Thousands of UK Vodafone customers have complained after suffering from a broadband connection outage.
Downdetector, a website where people can log outages, reported a peak of 2,820 people experiencing problems on Monday morning.
Vodafone said in a post on Twitter: "We're aware of and investigating an issue impacting some of our home broadband customers since this morning.
"Getting our customers reconnected is now our top priority, and we're incredibly sorry for any inconvenience this is causing."
One customer, tweeted: "@VodafoneUK please acknowledge that your home broadband is down and give us an idea when you plan to get it up and running again.
"Stop all this diagnostic rubbish.
"It's your end not ours."
In response to some disgruntled customers concerning how long issues will persist for, Vodafone said: "We don't currently have an ETA."
The issue comes after Virgin Media experienced problems last week with Downdetector receiving 55,000 reports of internet disruption last Tuesday.
Vodafone has been contacted by Sky News for comment.