We study the following p ( x ) -Laplacian problem with singular term: - div ⁡ ( | ∇ u | p ( x ) - 2 ∇ u ) + | u | p ( x ) - 2 u = λ | u | α ( x ) - 2 u + f ( x , u ) , x ∈ Ω , u = 0 , x ∈ ∂ Ω , where Ω ⊂ R N is a bounded domain, 1 < p - ≤ p ( x ) ≤ p + < N . We obtain the existence of solutions in W 0 1 , p ( x ) ( Ω ) .