Yes — Marseille is generally safe for tourists, and millions of visitors enjoy the city without incident every year. The areas you will spend most time in — the Vieux-Port, Le Panier, MuCEM, the 6th and 7th arrondissements, the Corniche, and the Calanques — are well-frequented, well-policed, and present no unusual risks.
Practical tips for a safe trip:
Watch your pockets and bags around the Vieux-Port, La Canebière, and on the metro (Line 1 in particular). Pickpocketing is the most common issue for tourists.
Avoid the northern arrondissements (the 13th to 16th) at night unless you know the area or are with a local. These districts are not tourist areas and gang-related violence, while rare, is occasionally reported.
The Calanques are safe to hike but require preparation: take enough water, wear sun protection, and tell someone your route. Heat exhaustion is the main risk in summer.
Tap water is safe to drink. Healthcare is excellent — EU citizens should carry a European Health Insurance Card (EHIC); others should carry travel insurance with medical cover.
The Mistral wind can make coastal conditions change rapidly; heed warnings on beach safety flags.
Overall, treat Marseille as you would any large southern European city — aware, but not anxious.