Negrone's election as doge of the Republic of Genoa took place on 13 October 1723, the one hundred and second in two-year succession and the one hundred and forty-seventh in republican history.

As doge he was also invested with the related biennial office of king of Corsica.

In his mandate the doge Negrone decreed a 10% increase in taxes on goods coming from the Grand Duchy of Tuscany, a measure already implemented during the slate of the predecessor Cesare De Franchi Toso which already caused a collapse of commercial traffic and which, in a tight turn, was consequently canceled.

He ended the Dogate on October 13, 1725, but continued to serve the republic in other public jobs.

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