The church said one of the cases allegedly happened in the 1940s and the other "somewhat later."
It said the priests suspected of the abuse no longer work in Sweden.
The church said it will launch its own investigation, though too much time has passed for them to be tried under Swedish law.
Bishop Anders Arborelius said he received the reports "with deep sadness".
The church had previously only acknowledged one case of sexual abuse in Sweden.
The Catholic Church has about 100,000 members in Sweden, a predominantly Lutheran country.
+++++++++++++++++++++++++++++++++++++++++++++
Disclaimer
No responsibility or liability shall attach itself to the CW Team or to the blogspot ‘Clerical Whispers’ for any or all of the articles placed here.
The placing of an article hereupon does not necessarily imply that the CW Team agree or accept the contents of the article as being necessarily factual in theology, dogma or otherwise.
CW Team
SIC: BT