[en] Tremendous progress is being made on the experimental study of hypernuclei, especially on the spectroscopy of p-shell hypernuclei. Their theoretical description, however, is limited to phenomenological models or very light (i.e. s-shell) systems. We present the first ab-initio calculations of p-shell hypernuclei using chiral Hamiltonians including hyperon-nucleon and two- plus three-nucleon interactions, which to date constitute the most consistent starting-point to solving the hypernuclear many-body problem. The many-body calculations are performed in the framework of the importance-truncated no-core shell model using leading-order (LO) chiral hyperon-nucleon and chiral two- plus three-body nucleon-nucleon interactions at N³LO and N²LO, respectively. To improve convergence with respect to model space size, the interactions are evolved consistently using a similarity renormalization group transformation. We show absolute energies and spectra for selected single-lambda-hypernuclei up to the _ΛLi isotope chain.