After the Second World War, a street in the new Saint-Paul district of his home city of Caen was named rue Robert Tournières.

His œuvre's heterogenous nature is typical of an artist of the transitional period of the French Regency – the Dutch elements give his work a new and more intimate character, while the lightness of his palette prefigures the rococo style.

With a talent for painting and portraying faces, Tournières enjoyed a great reputation during his lifetime.

He showed a delicate colouring, a perfect talent for pose and positioning, a certain elegance in drapery.

He was, according to an eminent critic, an artist who was more careful than powerful and, unable to be accounted as being in the first rank of portraitists, he still won an honourable place among them.