India players celebrate the wicket of Australia's Mitchell Marsh during their first One Day match in Mohali, India, on Friday. AP
The Indian team moved past arch-rivals Pakistan to take the top position in the one-day rankings as a result of their latest victory, just before they host the World Cup.
They were already number one in Tests and T20 internationals.
Only South Africa in 2012 have previously achieved the feat, according to the International Cricket Council.
India's five-wicket victory over Australia in Mohali took them to 116 rating points, one ahead of Pakistan.
But the hosts could slip down the table if Australia -- on 111 points -- win the remaining two matches in the series, a warm-up for the World Cup.
If India win the series, they will head into the showpiece tournament as the world's top-ranked ODI team.
India, who last week won their eighth Asia Cup title by thrashing Sri Lanka in the final, were in top form as they registered a comfortable win over Pat Cummins's team.
Mohammed Shami claimed five wickets to restrict Australia to 276 before half-centuries from Ruturaj Gaikwad, Shubman Gill, KL Rahul and Suryakumar Yadav sealed the win for the home side.
Du Plessis top-scored with 44 to guide RCB to 126-9, a total their bowlers defended by bowling out LSG for 108 on a tough batting pitch. The win has taken Bangalore to ten points and fifth place.
Suryakumar Yadav put on display a power-hitting masterclass to post his highest score in IPL — a 35-ball 83 — and with Nehal Wadhera blasting an unbeaten half-century.
Australia improved their rating from 113 to 118 following the annual update, maintaining a slender lead over Pakistan (116 points) and India (115 points).
Marri appreciated the efforts made by the members of the national team in preparation for the Asian Championships and extended his thanks to the federation’s Board of Directors.
The Green Shirts won the first two matches against the Kiwis by 7 wickets and 10 runs, respectively, becoming the first Asian team to win the T20 series in New Zealand. The Nida Dar-led side lost the third match by just six runs via the DLS method.
Mohamed Salah scored his 200th goal for Liverpool before Harvey Elliott's last-gasp winner sealed a dramatic 2-1 victory against Crystal Palace that sent the Reds to the top of the Premier League on Saturday.