We derive a new Sawyer's type sufficient condition for the fractional order Poincare inequality with weights (integral(Omega) vertical bar f(x) - (f) over bar (v,Omega)vertical bar(q) upsilon(x)dx)1/q <= C (integral integral(Omega x Omega) vertical bar f(x) - f(y)vertical bar(p) omega(x,y)dxdy)1/p to hold in a non-regular domain Omega subset of R-n of finite volume, where omega(x,y) = vertical bar x - y vertical bar(-n-alpha P) omega(0)(x,y), 0 < alpha < 1, q >= p > 1, f is an element of C(Omega), and v(.), omega(.,.) are positive measurable functions such that omega(1-p')(x,.)v(p')(.) is an element of L(Omega) a.e. x is an element of Omega and (f) over bar (v,Omega) = 1/upsilon(Omega) integral(Omega) fvdx.