A MEMS assembly includes a package, wherein the package includes a substrate and a cover element, wherein a through opening is provided in the cover element, a MEMS component within the package on the cover element, an integrated circuit arrangement within the package on the substrate, and a support component within the package on the substrate, wherein the support component on the substrate is electrically coupled, by first electrical connection lines, to the MEMS component on the cover element and is electrically coupled, by second electrical connection lines, to the circuit arrangement on the substrate in order to produce an electrical connection between the MEMS component and the integrated circuit arrangement.