Kucherov won the Hart Trophy at Wednesday's NHL Awards.
Kucherov was announced as a finalist for the 2018-19 Hart Memorial Trophy on Sunday, Elliotte Friedman of Sportsnet reports.
Kucherov has been named a finalist for the Lindsay Award by the NHL Players Association, reports TSN.ca.
Kucherov is planning on representing Team Russia at the upcoming IIHF World Championships, Joe Smith of The Athletic reports.
Kucherov notched two assists, one on the power play, in Tuesday's 7-3 loss to the Blue Jackets in Game 4 of their first-round series.
Kucherov (suspension) has served his one-game ban and is available for Tuesday's crucial Game 4 clash with Columbus.
The league has suspended Kucherov for Game 3 in Columbus, Chris Johnston of Hockey Night in Canada reports.
Kucherov will have a hearing with the NHL Department of Player Safety on Saturday regarding his boarding penalty against the Blue Jackets' Markus Nutivaara.
Kucherov scored a goal and an assist in Saturday's 6-3 victory over Boston.
Kucherov scored a goal in Thursday's 3-1 victory over the Maple Leafs.