10.beta.,11.beta.-bridged steroids of Formula I ##STR1## wherein R.sup.1 is H or methyl;R.sup.2 is H, a cyanide residue, a heteroaryl residue, a straight-chain or branched aliphatic, e.g., alkyl group of up to 20 carbon atoms, optionally exhibiting double or triple bonds and, if desired, being substituted by one or several oxo groups, a C.sub.4-7 cycloalkyl or C.sub.4-7 cycloalkenyl group, an OR.sup.3 --, SR.sup.3 --, --OSO.sub.2 --R.sup.11 -- group wherein R.sup.11 means a perfluroinated C.sub.1 -C.sub.4 -alkyl group or an NR.sup.3 R.sup.4 -group wherein R.sup.3 means an H atom or C.sub.1 -C.sub.8 -alkyl residue, R.sup.4 means R.sup.3, a cyanide or a C.sub.1 -C.sub.10 -acyl residue, or R.sup.3 and R.sup.4 jointly with the inclusion of N means of 5- or 6-membered heterocyclic ring wherein the ring can additionally contain a further hetero atom N, O, or S, or a 4-cyano-, 4-methoxy- or 4-dimethylamino-substituted phenyl group,A and B either mean jointly a further bond between C4 and C5, or A is an .alpha.-hydroxy group and B is H,X is a keto or oxime group, andZ is a pentagonal or hexagonal ring residue which is optionally substituted and optionally unsaturated,or pharmaceutically compatible acid additional salts thereof which possess antigestagen and antiglucocorticoid properties.