The groups, which include Amnesty International, Human Rights Watch and the American Civil Liberties Union, said the reported policy changes lack transparency in the decision-making process.
In December, Trump signed the 2018 National Defense Authorization Act. The act funds the US military but also requires Trump to make known to Congress any changes to previous drone policies by March 12.
The Trump Administration has refused to publicly clarify whether the Presidential Policy Guidance (PPG), issued under former President Barack Obama, is still in effect.
Leaks suggest Trump has rolled back the safeguards contained within the PPG, replacing them with guidance that gives both the Pentagon and the CIA much greater freedom to carry out strikes in Yemen, Somalia, Niger and elsewhere.
The reported changes include a relaxing of the "imminent threat requirement", which means the US may select targets outside of armed conflict, the standard of requiring "near certainty" that the target is present, and an increased role for the CIA.
The United States carries out drone strikes in Yemen, Somalia, Afghanistan and Pakistan. Washington claims the strikes by the unmanned aircraft target militants. Facts on the ground, however, indicate that civilians are the main victims of such attacks. The number of civilian deaths has increased 215-percent from 2016 to 2017.
The increase in numbers is while it is often difficult to confirm circumstances or death tolls in war-torn areas.
US armed forces and intelligence services have been accused of hiding details and menipulating numbers to make drone strikes appear more accurate.
