A permanent magnet acts as a magnet always
but electromagnet behaves so only when current passes through it.

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Electromagnet is when electricity is passed through an iron bar which converts it into a magnet.
The effect of magnetism by the electromagnet is temporary and only exist till the current is passed, when the current passing through the electromagnet is stopped it does not show any magnetic properties.

Permanent Magnet does not need any other external source to show its magnetic properties. It is an independent object having the magnetic property itself. 
The magnetic property cannot be removed from such permanent magnet.