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The man was reported overdue about noon on Saturday after failing to return from a trip on Te Waihora/Lake Ellesmere near Christchurch.
The man's kayak was found at about 2.30pm Saturday.
Police said this morning the search will not resume today.
The decision not to resume the search was made after an assessment of the circumstances and the search effort over the past two days.
It was intended a further search would be conducted tomorrow, supported by Coastguard volunteers and a helicopter.