Passengers who pay for Priority Boarding will be able to take both bags into the cabin with them.
Only the smaller bag - which can be the size of a handbag or laptop bag - will be allowed in the cabin.
"This will speed up the boarding of flights and eliminate flight delays, alongside our new checked bag policy which offers our customers lower bag fees for a 33% increase in their checked bag allowance".
Before the new rules, passengers were allowed to take on a small bag measuring 35cm x 20cm x 20cm and a suitcase no more than 55cm x 40cm x 20cm.
Ryanair is introducing new baggage rules from Monday.
Ryanair's new baggage rules have now been rolled out across all their flights.
"We believe offering bigger bags at reduced fees will encourage more customers to consider checking-in a bag, which will reduce the high volume of customers we have with two carry-on bags at the boarding gates, which is causing flight delays due to large numbers of gate bag and cabin bag offloads", Jacobs said.
"This prevents users from choosing other airlines in some routes that the Ryanair company exclusively carries out and thus limits their ability to choose".
He went on: 'We are reminding customers that our new carry-on bag policy commences on Monday (15 Jan).
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One thing is clear - Ryanair want you to buy priority boarding, and want to minimise carry-on boarding.
Ryanair said too many customers were availing of the two free carry-on service which lead to not enough overhead cabin space.
"This new policy is centred around lower checked bag fees and bigger bag allowances and we have notified by email all our customers travelling from Monday".
Why is Ryanair changing this policy?
Yes, there are also changes to the permitted weight and cost of checked luggage.
"We would advise travellers to remove wallets, keys, laptops and other important or expensive items from any bag the airline plans to put in the hold".
"If anything does go missing, you should claim against the airline as they should honour your rights under the Montreal Convention".
Tag a friend who needs to know this Ryanair info!
In case you haven't seen any of the Ryanair reminders in recent weeks and months, the main details of the new policy can be seen below.