The Perseids are visible as streaks of coloured light in the night sky, and will be visible for several days, peaking in the early hours of Tuesday morning.
They can be seen during most of the hours of darkness.
"We've had quite a good night observing and we have seen some really bright and spectacular meteors," said Robin Scagell, of the Society for Popular Astronomy.
Conditions are particularly good this year, because the moon is new and giving little light, giving the Perseids free range to shine against the night sky.
'Burning tears'
Meteors are streaks of light in the sky caused by small pieces of comet dust disintegrating in the Earth's atmosphere.
When comets pass close to the Sun, they begin to evaporate and leave behind a trail of gas and dust.
How to see the Perseids
Choose a dark location, away from city lights
Look up towards an unobstructed part of the sky
Face away from the Moon
When the Earth passes through this trail, we have a meteor shower.
"It happens at this time of year each year and it's been happening like this as long as people can remember, certainly way back until around the beginning of the Christian era," said Robin Scagell.
The Perseids appear in the constellation Perseus.
They are among the fastest meteors, hitting the atmosphere at 60 kilometres per second.
They occur each August when the Earth runs through the dusty debris from comet Swift-Tuttle.
In the Middle Ages, there were known in England as the "burning tears of St Lawrence," because they come in August, around the anniversary of the saint's martyrdom at the hands of the Roman emperor Valerian in the year 258.