Rev Andrew Leatherbarrow had been due to face trial but changed his plea during an appearance at Liverpool Crown Court on Tuesday.
The 56-year-old pleaded guilty to two charges of attempted sexual communication with a child to obtain sexual gratification between January 30th and February 8th last year, the BBC reports.
The first count related to a 12-year-old girl and the second to a 13-year-old girl.
Judge Simon Medland KC told Rev Leatherbarrow that in changing his pleas for these offences to guilty, he'd acted with "enormous good sense" and that his sentence would be "significantly lighter than otherwise would have been the case".
Leatherbarrow has previously denied another similar charge involving a 14-year-old girl, as well as attempting to cause a child to watch a sexual act and making a Category C indecent image.
He has been suspended from his post at All Saints Church in Stoneycroft, and will be sentenced on October 14th.
He previously served as assistant curate at St. Ann's Parish Church in Rainhill, St. Helens.