We propose a dynamical elliptic algebra A(q,p,<(pi)over cap>)(<(gl(n))over
cap>) which is based on the relations RLL = LLR*, where R and R* are the dy
namical R-matrices of A(n-1)((1))-type face model with the elliptic module
shifted by the center of algebra. From the high-rank Gauss decomposition, w
e obtain the Drinfeld currents of dynamical elliptic algebra A(q,p,<(pi)ove
r cap>)(<(gl(n))over cap>).