The charity has published online guides to its seven top sites for seeing the stars, ahead of the best viewing night on Wednesday, including coastal spots, nature reserves and national park.
The Perseids happen every year in August when the Earth passes through rock and dust fragments left behind by the Comet Swift-Tuttle.
As these small particles collide with the Earth's atmosphere, they burn up, creating up 80 streaks of light an hour across the night sky.
The National Trust online guide includes information on constellations which can be seen, the phases of the moon, star maps, and how to reach the sites.
They also list the kinds of wildlife – from tawny owls at Friar's Crag in Cumbria to glow worms at Wicken Fen in Cambridgeshire – that night visitors to the countryside might also glimpse.
The National Trust's Castle Drogo, in Devon, is keeping its gates open until midnight on Wednesday to allow people to watch the stars.
Jo Burgon, head of access and recreation at the National Trust, said: "Light pollution from our towns and cities has increased so much in recent years but head out to the countryside for the perfect place to explore the beauty of the night sky, away from the intrusive glow.
"Whether at Black Down, the highest point in Sussex, or on the peaceful, sandy beach at Penbryn in Wales, the National Trust has many places to savour the fascinating mysteries of the universe above us.
"There's so much to look at and it won't cost you anything, so spending time looking at the night sky is well spent and something that you'll always remember."
Jonathan Shanklin, from the British Astronomical Association said: "Seeing a bright fireball blazing across the heavens is an awe-inspiring sight and can trigger a lifelong interest in astronomy.
"These shooting stars are tiny fragments of comets, which are themselves remnants from the birth of our solar system.
"The best views are from the darkest sites, which is why these remote National Trust properties are so good for astronomy."
The seven best sites highlighted by the National Trust include:
* Black Down in Sussex, the highest point on the South Downs, near Haslemere
* Teign Valley in Devon, within Dartmoor National Park and close to Castle Drogo
* Penbryn Beach in Wales, a mile-long beach on the Ceredigion coast
* Stonehenge Landscape in Wiltshire, the chalk downland of Salisbury Plain surrounding the prehistoric monument
* Wicken Fen national nature reserve in Cambridgeshire, the National Trust's oldest nature reserve close to Ely
* Mam Tor in Derbyshire, a good place to escape the bright lights of Sheffield by heading for the Peak District
* Friar's Crag in Cumbria, jutting out into the lake of Derwentwater