Submitting a formal complaint to the Office of Fair Trading, the low budget airline said the ASA had "demonstrated a repeated lack of independence, impartiality and fairness" in rulings against it.
The ASA has upheld a number of complaints about Ryanair's ads, with seven rulings going against the airline over the past two years.
In January, Ryanair was refusing to back down in a battle with the watchdog over a "provocative" schoolgirl ad that was banned. ASA instructed media owners not to run it following complaints that it was offensive and carried sexual connotations.
Ryanair said that the ASA had repeatedly failed to adjudicate on Ryanair's advertising in an independent or impartial manner and had made findings that it claims are in contravention of the evidence simply in order to rule against Ryanair's ads.
Peter Sherrard, Ryanair spokesman, said: "This unelected quango's director general has a stated policy of 'fighting back' against Ryanair's justified public criticisms of its bizarre, factually inaccurate and untenable rulings.
"We are calling on the OFT to examine this catalogue of mal-administration, bias and incompetence by the ASA, and require in future that the ASA rules on Ryanair's adverts in an independent, impartial, fair and reasonable manner."
Ryanair's move has been prompted by a forthcoming adjudication by the ASA about yet another misleading Ryanair ad which refers the airline to the OFT. The ruling was not due to be made public until next week.
However in light of Ryanair's action today, the ASA said it decided to made public its decision to refer the airline to the trading body.