In this work, the authors study the blow-up properties of so- lutions to a parabolic system with nonlocal boundary conditions and non- local sources. Conditions for the existence of global or blow-up solutions are given. Global blow-up property and precise blow-up rate estimates are also obtained. v(x;t) = R k2(x;y)v(y;t)dy; x2 @; t >0; u(x;0) = u0(x); v(x;0) = v0(x); x2 ; where m; n >1, a; b; p; q >0 are constants and is a bounded domain in R N (N � 1), with smooth boundary @. k1(x;y), k2(x;y) 㘑 0 are nonnegative continuous functions defined for x 2 @ and y 2 , while u0(x), v0(x) are positive continuous functions and satisfy the compatibility conditions u0(x) = R k 1(x;y)u0(y)dy and v0(x) = R k