Fleming led the one-day team to 98 wins from 218 games over the past 10 years.
He played 279 one-dayers, scoring 8,007 runs -- the highest total of any New Zealand batsman -- at an average of 32.41. Fleming announced at the same time Tuesday he was retiring from one-day internationals and indicated he will soon end his Test career as well.
The 34-year-old, widely admired as one of the best skippers in world cricket, stepped down as one-day captain after this year's World Cup but said he wanted to continue his 10-year reign as Test skipper.
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New Zealand Cricket chief executive Justin Vaughan said Fleming was New Zealand's greatest ever captain but added it was time to look ahead.
"The selectors are looking to the future and have recommended that Daniel assume captaincy of the Test team as well as the one-day team," he said.
"Stephen was an outstanding captain and his legacy in the role sets a high standard for Daniel.
"I am sure Daniel will rise to the challenge and will