The 24-year-old has won every major Welsh honour during his time with the Saints and joins for a fee of £35,000 which could rise to £50,000.
Quigley scored eight goals last term as they won a sixth consecutive WPL title.
"I'm 24 and it's about time I made the step into the English system. I'm glad to have the opportunity," Quigley said.
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Blackpool have signed forward Scott Quigley from Welsh Premier League champions The New Saints on a two-year deal with the option of a further year.