The electrons on the conductors will move from the conductors to the insulator. This will leave the whole system a bit positively charged (because charge has to be conserved, and if the insulator was positive and the conductor was neutral, then the end result is that they have to positive at equilibrium).

Can an insulator be electrically charged?

Charge cannot flow along or through an insulator, so its electric forces remain for long periods of time. (Charge will dissipate from an insulator, given enough time.) As it happens, amber, fur, and most semi-precious gems are insulators, as are materials like wood, glass, and plastic.

Are insulators electrically neutral?

An insulator holds charge fixed in place. Polarization is the separation of positive and negative charges in a neutral object. Polarized objects have their positive and negative charges concentrated in different areas, giving them a charge distribution.