Hungary is safe by European standards, and Budapest is one of the safer major European capitals for visitors. Violent crime against tourists is uncommon. The risks that do exist are overwhelmingly financial rather than physical.
The Real Risks
Pickpocketing occurs in the same places it occurs in any major European city: crowded public transport, the main tourist squares, and busy markets. Standard precautions, a bag you can see and keep closed, awareness in metro crowds, apply and are generally sufficient.
Taxi overcharging and the currency exchange scams covered in the scams guide and money guide are the most common ways visitors actually lose money in Hungary.
Nightlife Areas
The VII district ruin bar area late on weekend nights has a concentration of intoxicated visitors, which brings the ordinary risks of any dense nightlife district: petty theft, occasional aggressive behaviour from other patrons, and the drink-price intimidation scam covered in the nightlife guide. This is manageable with normal urban awareness rather than a reason for concern.
Solo Travellers
Budapest is a common solo travel destination, including for women travelling alone, and is generally regarded as comfortable for this. The usual precautions, avoiding poorly lit areas late at night, keeping your accommodation address discreet with strangers, still apply as they would anywhere.
Emergency Numbers
112 is the EU-wide emergency number, with English-speaking operators, and works for police, ambulance, or fire. It functions from any phone, including without a Hungarian SIM card.
Political Demonstrations
Hungary occasionally sees political demonstrations, particularly around Kossuth Lajos tér near the Parliament. These are generally peaceful but worth avoiding as a spectator if you encounter one unexpectedly, as with any large public gathering.
Related: Practical Info Hub | Tourist Traps and Scams | Start Here