Son was picked out by a fine pass from Christian Eriksen and had a moment to compose himself before beating Shay Given in the 41st minute to open the scoring.
Cazorla penalty gives Arsenal late win over Southampton
Tottenham steadily began to rediscover the fluid attacking football that made them such an irresistible offensive threat last season, adding a second in the 56th minute when Son finished powerfully after another fine interchange with Eriksen.
Stoke, who had manager Mark Hughes sent off in the first half after he protested too vociferously against a decision, offered little going forward and remained rooted to the bottom of the table after Alli and Kane completed the rout.
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