A method for producing a skin equivalent, namely a human skin equivalent, including at least one dermis equivalent and at least one epidermis equivalent, this process being characterized in that it consists in that: - first of all, a non-shrunken tissue equivalent formed of a skin dermis equivalent is produced by implementing a method consisting in that: - a mixture (m) containing at least one element entering into the composition of an extracellular matrix is produced; - with at least part of this mixture (m) is impregnated at least one support, at least partly formed of a multi-dimensional structure including cavities in the form of interstices and/or alveoli, made of a biocompatible material, at least partially formed of a woven and/or knitted textile material, and adopting the form of a frame, this frame delimiting an opening and adopting a polygonal or round shape; - from the components of this mixture (m) is made, inside this support and through the opening of this support, a lattice including at least one element entering into the composition of an extracellular matrix; - onto the structure of the support is fixed at least one element of an extracellular matrix the lattice comprises, this while ensuring a bio-adhesion on this structure of at least one such element; - because of the fastening of the lattice to the support, the shrinking of at least the lattice is prevented and at least this lattice is maintained tensioned on this support; - fibroblasts are integrated within the lattice and at least a cell culture of these fibroblasts is ensured at least in the lattice, this for obtaining the non-shrunken tissue equivalent; - then and on the surface of the dermis equivalent being obtained is produced the epidermis equivalent by preparing or providing at least one layer of keratinocytes, this prior to ensuring at least a cell culture of these keratinocytes. - first of all, a non-shrunken tissue equivalent formed of a skin dermis equivalent is produced by implementing a method consisting in that: - a mixture (m) containing at least one element entering into the composition of an extracellular matrix is produced; - with at least part of this mixture (m) is impregnated at least one support, at least partly formed of a multi-dimensional structure including cavities in the form of interstices and/or alveoli, made of a biocompatible material, at least partially formed of a woven and/or knitted textile material, and adopting the form of a frame, this frame delimiting an opening and adopting a polygonal or round shape; - from the components of this mixture (m) is made, inside this support and through the opening of this support, a lattice including at least one element entering into the composition of an extracellular matrix; - onto the structure of the support is fixed at least one element of an extracellular matrix the lattice comprises, this while ensuring a bio-adhesion on this structure of at least one such element; - because of the fastening of the lattice to the support, the shrinking of at least the lattice is prevented and at least this lattice is maintained tensioned on this support; - fibroblasts are integrated within the lattice and at least a cell culture of these fibroblasts is ensured at least in the lattice, this for obtaining the non-shrunken tissue equivalent; - a mixture (m) containing at least one element entering into the composition of an extracellular matrix is produced; - with at least part of this mixture (m) is impregnated at least one support, at least partly formed of a multi-dimensional structure including cavities in the form of interstices and/or alveoli, made of a biocompatible material, at least partially formed of a woven and/or knitted textile material, and adopting the form of a frame, this frame delimiting an opening and adopting a polygonal or round shape; - from the components of this mixture (m) is made, inside this support and through the opening of this support, a lattice including at least one element entering into the composition of an extracellular matrix; - onto the structure of the support is fixed at least one element of an extracellular matrix the lattice comprises, this while ensuring a bio-adhesion on this structure of at least one such element; - because of the fastening of the lattice to the support, the shrinking of at least the lattice is prevented and at least this lattice is maintained tensioned on this support; - fibroblasts are integrated within the lattice and at least a cell culture of these fibroblasts is ensured at least in the lattice, this for obtaining the non-shrunken tissue equivalent; - then and on the surface of the dermis equivalent being obtained is produced the epidermis equivalent by preparing or providing at least one layer of keratinocytes, this prior to ensuring at least a cell culture of these keratinocytes.