Yes — Perth is consistently ranked among the safest cities in Australia and in the world. Violent crime against tourists is rare, and the city's major precincts — the CBD, Northbridge, Fremantle, and Cottesloe — are well-policed and well-lit.
Practical tips to stay safe:
Sun and heat: Perth's UV index is extreme for much of the year. Wear SPF 50+ sunscreen, a hat, and sunglasses; drink plenty of water; and avoid prolonged midday sun between November and March.
Ocean swimming: Always swim between the red-and-yellow flags patrolled by surf lifesavers. Rips and strong currents affect even experienced swimmers. Check Surf Life Saving WA's beach conditions before you go.
Wildlife awareness: When driving at dusk or dawn in regional areas, watch for kangaroos on the road. Do not approach snakes in bush areas — they move away if given space.
Petty theft: As in any city, keep valuables out of sight in hire cars and watch your bag in crowded markets and transport hubs.
Emergencies: Dial 000 for police, fire, or ambulance anywhere in Australia.