Dyfed Powys Police force said it had received “an extremely high volume” of calls relating to tremors.
South Wales Police urged the public to avoid calling the emergency services unless it was to report damage or injuries.
The tremors caused play to be held up at a Welsh Football League match at Port Talbot, 10 miles from Swansea, as the town’s team faced Taff’s Well.
A tweet from Port Talbot’s Twitter account said: “Temporary stop in play. A recorded earthquake in the area. Incredible.”
Steven Clathworthy, who lives near Bridgend, south Wales, said he heard a bang and the settee moved.
“All the neighbours were out asking ‘what’s happening?'” he said.
Bryan Jones, 72, of Treorchy, Rhondda Cynon Taff, said: “It was like a tremor but it was quite frightening for my granddaughter – she swore a little bit and my wife got up asking ‘What was that?'”
‘The walls cracked’
Vera Sanderberg, from Croyde in north Devon, said she felt her house shake.
“The neighbour’s horses bolted,” she said.
“It was just a split second. We can’t see anything damaged.”
In Cheltenham, Paul Samway said it felt like “a washing machine breaking down”.
“We heard the walls crack and there was a bit of juddering,” he added.
“We thought nothing of it until we saw reports from other people on social media.”
Louise Craig, from Connah’s Quay in north Wales, said it was “the most excitement I’ve had on a Saturday afternoon for a while”.
“I get a lot of fat wood pigeons jumping up and down on my chimney and I first of all thought the noise was them but they must have put on a heck a lot of weight to make the house shake,” she told the BBC.
Donna Johnson in Caerphilly said she was “really scared”.
“The house started rocking, and I said, ‘oh my god the house is falling down’. We have a bungalow, and there is risk of subsidence here,” she told the BBC.
“I ran outside – I was shaking like a leaf… The cat went outside before me, so she must have known.”
Sue Field in Shifnal, Shropshire, said she felt the tremors from her armchair.
“I thought I’d had one too many wines for my birthday lunch,” she said.