Lennon faced a Scottish Football Association judicial panel at Hampden on Thursday on two charges.
The SFA confirmed they had imposed an immediate two-match ban for his comments following Celtic's 1-0 defeat to Kilmarnock at Hampden on March 18.
But, for being sent to the stand during a 3-2 defeat by Rangers the following weekend, the SFA said "the tribunal imposed no further sanction on the basis that the half-game served outwith the technical area was sufficient".
