In a statement, Blair said: "Jack's contribution to law and order in Britain and this country's standing in the world is quite simply formidable.
"In 2015, Parliament will lose one of the most able politicians of my generation, but I have no doubt that he will be immensely successful in whatever he turns his hand to next."
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Alfie suffered from a degenerative condition and died at Liverpool’s Alder Hey Hospital in April aged 23 months.
Spells of wet and windy weather, improving through the afternoon.
The Labour leader says he will accept the will of the party conference as a poll shows 86% of members back a second referendum.