Provision of a process capable of preferably etching particularly PtMn used for a pin layer of an MRAM is an object: a dry etching method for performing dry etching on a layer including platinum and/or manganese by using pulse plasma and a production method of an MRAM, wherein the dry etching method is applied to processing of the pin layer. The MRAM is configured to have a memory portion comprising a magnetic memory element composed of tunnel magnetoresistive effect element formed by stacking a magnetic fixed layer having a fixed magnetization direction, a tunnel barrier layer and a magnetic layer capable of changing the magnetization direction.