Walsh, a state senator with Irish-born parents, and City Councilor Connolly who made public schools his main issue, defeated ten other candidates to win through to the run-off.
Walsh finished just ahead of Connolly with 18 per cent of the vote to Connolly’s 17 per cent.
They will face off to replace Tom Menino the long-time mayor who has retired due to ill health.
Walsh caused a mild surprise by finishing first as polls had shown Connolly with a narrow lead.
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