Summary: The aim of this paper is to introduce and study a new concept of strong double \((A)_\Delta\)-convergent sequence of fuzzy numbers with respect to an Orlicz function and also some properties of the resulting sequence spaces of fuzzy numbers are examined. In addition, we define the double \((A,\Delta)\)-statistical convergence of fuzzy numbers and establish some connections between the spaces of strong double \((A)_\Delta\)-convergent sequence and double \((A,\Delta)\)-statistical convergent sequence.