  In this work we provide a level raising theorem for $\mod \lambda^n$ modular
Galois representations. It allows one to see such a Galois representation that
is modular of level $N$, weight 2 and trivial Nebentypus as one that is modular
of level $Np$, for a prime $p$ coprime to $N$, when a certain local condition
at $p$ is satisfied. It is a generalization of a result of Ribet concerning
$\mod \ell$ Galois representations.
