Under  minimal  condition, we  prove  the  local convergence of  a  critical
  multi-type  Galton-Watson tree  conditioned  on having  a large  total
  progeny by  types towards  a multi-type Kesten's  tree.  We  obtain the
  result  by  generalizing  Neveu's   strong  ratio  limit  theorem  for
  aperiodic random walks on Z^d.