A simple two-fluid theory of the drift kink instability is developed. The v
alidity of the theory is restricted to the regime where the ion gyroradius
is small in comparison with the sheet thickness rho(i) << L and wavelength
rho(i)kappa(y) << 1. Analytic expressions are derived for the real frequenc
y and growth rate. For the limited region of parameter space where two-flui
d theory is applicable, the analytic expressions are in excellent agreement
with a full Vlasov solution.