The present invention relates to a functional complex particle prepared by filling a nucleic acid hydrogel inside a liposome and a method of producing the same. The present invention may have an effect of increasing an expression of protein factors included in the particle by incorporating an X-shaped nucleic acid monomer in the nucleic acid hydrogel. Accordingly, when the core-shell particle is prepared using the method according to an embodiment of the present invention, an effect of facilitating an introduction of a genome into the nucleic acid hydrogel may be obtained, and thereby the core-shell particle may be used as a protein production platform copying a cell nucleus.