The party has moved to use budget reconciliation to pass a $1.9 trillion plan without GOP support.
McConnell used the same strategy when in the majority, including for tax cuts in 2017.
McConnell said this method meant the Democrats had "chosen a totally partisan path," according to the Associated Press, adding: "That's unfortunate.".
Despite McConnell's criticism, he and Republicans have taken the same route to pass measures without help from the opposing party.
One example is the series of sweeping tax cuts in 2017 that formed a centerpiece of President Donald Trump's term.
Read more: Democrats are moving ahead with Joe Biden's $1.9 trillion COVID stimulus — with or without Republicans.
In 2017, with McConnell as Senate majority leader, Republicans used the mechanism to push through major tax cuts on a wafer-thin majority of 51. »