Let $$G$$ be a finite group and let $${\mathrm{Irr}}(G)$$ denote the set of all complex irreducible characters of $$G.$$ Let $${\mathrm{cd}}(G)$$ be the set of all character degrees of $$G.$$ For each positive integer $$d,$$ the multiplicity of $$d$$ in $$G$$ is defined to be the number of irreducible characters of $$G$$ having the same degree $$d.$$ The multiplicity pattern $${\mathrm{mp}}(G)$$ is the vector whose first coordinate is $$|G:G^{\prime }|$$ and for $$i\ge 1,$$ the $$(i+1)$$ th-coordinate of $${\mathrm{mp}}(G)$$ is the multiplicity of the $$i$$ th-smallest nontrivial character degree of $$G.$$ In this paper, we show that every nonabelian simple group with at most $$7$$ distinct character degrees is uniquely determined by the multiplicity pattern.