Method for erecting vertical structural elements of building/construction of monolithic reinforced concrete including process steps of: - installing lifting jacks containing props enclosed in shells on already erected structures; installing U-shaped jack frames equipped with posts and extendible supports on said posts; connecting the posts of said jack frames located adjacently on both sides of the being erected vertical structures by rigid links; - installing reinforcement cages of the vertical structures for the whole height of a tier/storey with their connection to protruding reinforcement of the already erected structures; - installing formwork panels for erection of the vertical structures on the posts of the jack frames; securing rigidly said panels located in a single plane to define a molding cavity; adjusting a width of the molding cavity; and connecting said panels located in parallel on the opposite side of the reinforcement cage of the being erected vertical structures by means of tightening devices; - pouring concrete into the molding cavity of the being erected vertical structures; imparting reciprocating and rotating or only rotating motion to the shells enclosing the props of the lifting jacks; resting the U-shaped jack frames upon the poured vertical structures by means of the extendible supports following a 30-40% design strength of the poured structures is attained; extracting the lifting jack props with their enclosing shells from said poured structures which leaves a cavity in the poured structures, followed by a subsequent filling of the cavities formed in the vertical structures with concrete; and moving the formwork panels away from a surface of the poured structures; - resting the props of the lifting jacks upon the already poured structures; lifting the U-shaped jack frames with the formwork panels on a next tier/storey; and repeating the cycle for erecting vertical structures. - installing lifting jacks containing props enclosed in shells on already erected structures; installing U-shaped jack frames equipped with posts and extendible supports on said posts; connecting the posts of said jack frames located adjacently on both sides of the being erected vertical structures by rigid links; - installing reinforcement cages of the vertical structures for the whole height of a tier/storey with their connection to protruding reinforcement of the already erected structures; - installing formwork panels for erection of the vertical structures on the posts of the jack frames; securing rigidly said panels located in a single plane to define a molding cavity; adjusting a width of the molding cavity; and connecting said panels located in parallel on the opposite side of the reinforcement cage of the being erected vertical structures by means of tightening devices; - pouring concrete into the molding cavity of the being erected vertical structures; imparting reciprocating and rotating or only rotating motion to the shells enclosing the props of the lifting jacks; resting the U-shaped jack frames upon the poured vertical structures by means of the extendible supports following a 30-40% design strength of the poured structures is attained; extracting the lifting jack props with their enclosing shells from said poured structures which leaves a cavity in the poured structures, followed by a subsequent filling of the cavities formed in the vertical structures with concrete; and moving the formwork panels away from a surface of the poured structures; - resting the props of the lifting jacks upon the already poured structures; lifting the U-shaped jack frames with the formwork panels on a next tier/storey; and repeating the cycle for erecting vertical structures.