The Real Madrid forward scored his 23rd goal in European qualifiers and finals to become European Championship's all-time leading scorer.
That took him past Denmark's Jon Dahl Tomasson and Turkey's Hakan Sukur, both of whom scored 22.
Portugal moved into second in Group I with six points from three games.
Apart from his goal, world Ronaldo had a poor game against Armenia having fired three free-kicks into the Armenia wall.
Armenia had chances, with Borussia Dortmund's Henrikh Mkhitaryan forcing Rui Patricio into a great save in the 14th minute.
Kamo Hovhannisyan also tested the Portuguese goalkeeper in the first 30 minutes of the match.
Former Chelsea full-back Jose Bosingwa, 32, made his Portugal return after a four-year absence, while another ex-Blues player, 36-year-old Ricardo Carvalho, also started.
Good for the Portuguese player.
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