The senator's statement refers to new questions that have emerged surrounding Pence's safety on the day of the violent insurrection, and how much Trump knew about the attack.
After initially being overruled by a Democratic Senator, Lee protested, "They are not true. I never made those statements. I ask that they be stricken!"
Tuberville objected to the Electoral College results from both Arizona and Pennsylvania on January 6.
"They will raise money and gain followers by blaming everyone else knowing full well they can't do anything. It's sad, and an utter scam," GOP Congressman Adam Kinzinger tweeted Saturday.
Tuberville previously said that he would challenge the results of the 2020 election when Congress meets to confirm the vote on January 6.
The president retweeted a video of Tuberville that surfaced last week in which the senator-elect seemed to indicate his intentions to dispute the electoral vote count when Congress meets to certify it next month.
Trump, who campaigned twice on "law and order," urged his most fanatical supporters to hold "wild" protests on January 6 during what legal experts say is the final procedural step before Biden takes the White House.
Congress will met on January 6 to count the electoral votes, with some Republicans planning to object to the president-elect's win.
"You see what's coming. You've been reading about it in the House. We're going to have to do it in the Senate," Tuberville said in a video posted to Twitter Thursday.
The retired university football coach delivered remarks in Montgomery on Tuesday night, after early ballot counts projected him the winner of Alabama's Senate election.
Though the explanations for their refusals have been varied, several candidates are in tight races that will determine future control of the Senate.
Senator Lindsey Graham (R-S.C.) was shown in a statistical tie with his Democratic challenger Jaime Harrison.
Tuberville, a former football coach, defeated Jeff Sessions in a contested runoff to clinch the Republican nomination.
"Some of you have reported that I slapped or hit him," Tommy Tuberville said in 2012. "You're dead wrong."
President Trump endorsed former football coach Tommy Tuberville ahead of Tuesday's runoff.
Lou Saban won two AFL Championships with the Buffalo Bills during a coaching career that spanned over 50 years.
"And he's great, Lou Saban, what a great job he's done," President Donald Trump said Monday, apparently referencing current Alabama football coach Nick Saban.
Sessions called his opponent Tommy Tuberville "cowardly to debate," in response to Trump's tweet.
Tommy Tuberville spent 10 years as the Auburn football coach during his 21 years as a head coach. Now he's the senatorial candidate endorsed by President Trump in Alabama.