Is Amsterdam safe to travel? Yes it is, the Safe City Index 2015 Amsterdam granted it the 5th position in the list of safest cities in the world. Though you can buy marijuana and truffles (underground mushrooms) freely in coffeeshops and smartshops and the prostitution is legal, Amsterdam is not a dangerous city. The city is managed especially well in regards to traffic. Most get around by bike, there are not many traffic accidents and the air in Amsterdam is not (much) polluted.
For crime, Amsterdam is also safe. The risk of violent assault in Amsterdam is pretty much absent, in all parts of the city. Also, crime rates in general in Amsterdam are going down every year.
Still, most of the crimes like robbing and pick pocketing in Amsterdam happen to tourists. Tourists are more often targeted than Amsterdam residents, because they are easily distracted. Keep an eye out for petty crime, like pickpocketing and getting your bag, jacket or things from your car stolen. Also always ignore the street dealers that you may encounter at nighttime!
The biggest crime in Amsterdam is tax evasion, but surely that won’t bother you! Bike theft may be risky, so always lock your bike on to something!