A process for preparing tertiary alkyl esters of (meth)acrylic acid having at least 4 carbon atoms in the alkyl radical, comprising the steps of: (1) reacting (meth)acrylic acid with at least one olefin of the general formula I: in which R1 and R2 are an alkyl radical, and R3 is a hydrogen atom, an alkyl radical, a cycloalkyl radical, an aryl radical, an alkylcycloalkyl radical, an alkylaryl radical, a cycloalkylaryl radical, or an alkylcycloalkylaryl radical; in homogeneous phase in the presence of an acidic catalyst in a reactor, (2) discharging the resulting reaction mixture (1) from the reactor, (3) separating the discharged reaction mixture (2) into a mixture (3.1) which comprises the catalyst and a mixture (3.2) which comprises the tertiary alkyl ester of (meth)acrylic acid having at least 4 carbon atoms in the alkyl radical, and (4) removing the tertiary alkyl ester of (meth)acrylic acid having at least 4 carbon atoms in the alkyl radical from the mixture (3.2), wherein, (5) in process step (4), at least one compound S which comprises at least one N-oxyl group is added as a stabilizer.