In this paper, we prove the boundedness of B−maximal operator, B−singular integral operator and B−Riesz potential in the variable exponent Lorentz space L p(·),q(·),γ (R n k,+). As a consequence of the boundedness of B−Riesz potentials in variable exponent Lorentz spaces, we also obtain that B−fractional maximal operators are bounded in L p(·),q(·),γ (R n k,+).