The Collaborative International Dictionary of English v.0.48:

Attainment \At*tain"ment\, n.
   1. The act of attaining; the act of arriving at or reaching;
      hence, the act of obtaining by efforts.
      [1913 Webster]

            The attainment of every desired object. --Sir W.
                                                  Jones.
      [1913 Webster]

   2. That which is attained to, or obtained by exertion;
      acquirement; acquisition; (pl.), mental acquirements;
      knowledge; as, literary and scientific attainments.
      [1913 Webster]

WordNet (r) 3.0 (2006):

attainment
    n 1: the act of achieving an aim; "the attainment of
         independence"
    2: arrival at a new stage; "his attainment of puberty was
       delayed by malnutrition"
    3: an ability that has been acquired by training [syn: skill,
       accomplishment, acquirement, acquisition, attainment]