Trump's White House has been heavily criticized for its handling of the allegations, which come amid a national debate over sexual misconduct and the #MeToo movement that has seen an avalanche of claims fell towering figures across various industries.
Critics say the president's chief of staff, John Kelly, has badly mishandled the matter and that his future at the White House hangs by a thread.
"People's lives are being shattered and destroyed by a mere allegation," Trump tweeted.
"Some are true and some are false. Some are old and some are new. There is no recovery for someone falsely accused - life and career are gone. Is there no such thing any longer as Due Process?"
The remark by the president - himself the target of numerous harassment claims - came after White House speech writer David Sorensen resigned on Friday, even while denying his former wife's claims of abuse.
And staff secretary Rob Porter stepped down Wednesday after abuse allegations from two ex-wives became public that he too denied.
Trump not only accepted Porter's claim of innocence but praised him for doing "a very good job" and offered his wishes for "a wonderful career" ahead.
The president has stood by other men - including Roy Moore, the Alabama Republican who ran unsuccessfully for the US Senate - when they faced allegations of abuse or harassment, while rarely expressing sympathy for the women who accused them.
He supported former Fox News executive Roger Ailes, who since has died, as he faced harassment allegations. And after Fox fired popular talk show host Bill O'Reilly amid reports of payouts over harassment claims, Trump called him "a good person."
The president, meanwhile, has vociferously denied charges from more than a dozen women that he is guilty of sexual harassment or abuse.