Fluid coupling for releasably connecting fluid-conveying components, in particular fluid-conveying components in medical equipment, having a coupling component and a coupling device, the coupling component comprising a coupling housing through which a fluid channel passes in regions and which is provided with a coupling recess that is sunken into a surface of the coupling housing, a channel opening of the fluid channel ending at an end face of the coupling recess, and the channel opening is covered by a membrane seal which is made of a resilient material and through which a fluid gap passes that is designed such that the membrane seal, when in a resting position, seals the channel opening and, when in an operative position, opens the channel opening, at least one yielding depression being formed in the coupling recess adjacently to the channel opening, which depression is designed for a yielding movement of a region (36, 37) of the membrane seal when the membrane seal transitions from the resting position into the operative position, the coupling device comprising a coupling projection that is designed to engage in the coupling recess, wherein a fluid channel passes through the coupling projection, which coupling projection is designed to deflect a region (36, 37) of the membrane seal into the yielding depression, and the coupling projection being designed to extend circularly and to sealingly abut the membrane seal when in an operative position in order to ensure a communicating connection between the fluid channels (17, 33) in the coupling component and in the coupling device, characterized in that the coupling device is designed to be attached to the surface of the coupling housing, and the coupling projection, the membrane seal and the yielding depression are designed such that the coupling projection is sealed with respect to the membrane seal when in an operative position, and the membrane seal is sealed with respect to an abutment surface in the yielding depression, the abutment surface being axially set back with respect to the end face of the yielding depression, the abutment surface in the yielding depression being an annular face. the coupling component comprising a coupling housing through which a fluid channel passes in regions and which is provided with a coupling recess that is sunken into a surface of the coupling housing, a channel opening of the fluid channel ending at an end face of the coupling recess, and the channel opening is covered by a membrane seal which is made of a resilient material and through which a fluid gap passes that is designed such that the membrane seal, when in a resting position, seals the channel opening and, when in an operative position, opens the channel opening, at least one yielding depression being formed in the coupling recess adjacently to the channel opening, which depression is designed for a yielding movement of a region (36, 37) of the membrane seal when the membrane seal transitions from the resting position into the operative position, the coupling device comprising a coupling projection that is designed to engage in the coupling recess, wherein a fluid channel passes through the coupling projection, which coupling projection is designed to deflect a region (36, 37) of the membrane seal into the yielding depression, and the coupling projection being designed to extend circularly and to sealingly abut the membrane seal when in an operative position in order to ensure a communicating connection between the fluid channels (17, 33) in the coupling component and in the coupling device, characterized in that the coupling device is designed to be attached to the surface of the coupling housing, and the coupling projection, the membrane seal and the yielding depression are designed such that the coupling projection is sealed with respect to the membrane seal when in an operative position, and the membrane seal is sealed with respect to an abutment surface in the yielding depression, the abutment surface being axially set back with respect to the end face of the yielding depression, the abutment surface in the yielding depression being an annular face.