James has 1,622,838 votes and filling up the top three frontcourt players in the East are Antetokounmpo (1,480,954) and Philadelphia 76ers star Joel Embiid (784,287).
In the Western Conference, Curry (1,369,658) has passed teammate Kevin Durant (1,326,059) to become the leading vote-getter.
James and Antetokounmpo are two of the five players with more than 1 million total votes thus far.
With fans making up 50 percent of the voting (active National Basketball Association players and National Basketball Association media make up 25 percent each), it's likely James and Curry will be the team captains under the new All-Star setup.
As in previous seasons, the starters will be determined by the fan vote as well as a vote among current players and media. New York Knicks' Kristaps Porzingis is fourth with 640,928 votes. Voting will conclude Monday.
Out West, there is also a new conference leader.
Coaches will then choose the reserves and the two top vote-getters from each conference get to pick their teammates from the pool. Oklahoma City's Russell Westbrook (791,332) is third. Starters will be announced on Thursday, Jan. 18 during TNT NBA Tip-Off at 5 p.m. CT. Full team rosters will be announced January 25. The leading vote-getters will be named captains and will select their teammates for the 67th All-Star Game, which will take place on February 18 at Staples Center in Los Angeles.