The goal gave City the lead against the run of play but they went on to boss the second half and substitute Rayan Cherki gave them a deserved second goal deep in added time.
City had an early scare when Newcastle swept forward but Yoane Wissa couldn't keep his shot down. The visitors had no shots in the first half for only the second time this season and they got a huge let off soon after half-time when Newcastle hit the woodwork twice in quick succession.
The Magpies paid dearly as moments later City countered, led by Jeremy Doku, and Semenyo nipped in to break the deadlock. Eddie Howe must have been livid as he had vented his fury before the game at the rule change which allowed Semenyo to play in the tie despite featuring for Bournemouth earlier in the competition.
Semenyo looked to have struck again following a corner although the goal was disallowed after a five-minute VAR review as Erling Haaland was deemed to be interfering with play. City were fortunate not to concede an own goal when Bernardo Silva inadvertently overhit a pass to James Trafford and narrowly missed the target.
Howe threw on three more substitutes in search of an equaliser but City held firm and doubled their advantage ahead of the second leg back in Manchester next month when Cherki finished off a fine run forward by substitute Rayan Ait-Nouri.
GOAL rates Man City's players from St James' Park...
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