Sebastian Vettel finished second for Ferrari with Force India's Sergio Perez third as Rosberg extended his championship lead to 24 points.
Kimi Raikkonen finished fourth after letting his faster team-mate Vettel through.
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While Rosberg was never troubled en route to his 19th career GP win from pole position, Hamilton scrambled up the field from 10th on the grid and was bedevilled by technical problems.
At one point, Hamilton lost power as his car was in the wrong mode, but the team could not tell him the issue due to radio restrictions.
Mercedes chief Niki Lauda confirmed both the team's drivers experienced the same issue, but Rosberg "fixed it quicker".

[Full story: Lewis Hamilton rages as team refuse to explain technical issue]

Ferrari also fell foul of the restrictions, as the team refused to answer a question from Kimi Raikkonen about a techincal setting.

Lewis Hamilton in action in the European Grand Prix

Image credit: AFP

F1 driver points standings

European Grand Prix result

1-Nico Rosberg (Mercedes)
2-Sebastian Vettel (Ferrari)
3-Sergio Perez (Force India)
4-Kimi Raikkonen (Ferrari)
5-Lewis Hamilton (Mercedes)
6-Valtteri Bottas (Williams)
7-Daniel Riccardo (Red Bull)
8-Max Verstappen (Red Bull)
9-Nico Hulkenberg (Force India)
10-Felipe Massa (Williams)

Driver's championship standings

Nico Rosberg - 141
Lewis Hamilton - 117
Sebastian Vettel - 96
Kimi Raikkonen - 81
Daniel Riccardo - 78

Nico Rosberg in Baku

Image credit: Imago

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