The president said the administration will be "spending a lot of money on great commercials" to show the dangers of drugs.
"The best way to beat the drug crisis is to keep people from getting hooked in the first place", Trump said.
"If we don't get tough on the drug dealers, we're wasting or time", Trump told supporters.
Some details of the plan are to be unveiled during Trump's scheduled visit Monday to New Hampshire, which has been hit hard by the opioid crisis.
David Safavian, deputy director for the American Conservative Union Foundation's Center for Criminal Justice Reform, said Trump's plan had some good parts, including focusing on addiction as a way to lower crime rates.
"You kill one person, you get the death penalty in many states or you get life in prison", Mr. Trump said at a March 10 rally in Pennsylvania.
The president singled out Lawrence, Massachusetts, as the source of New Hampshire's drug problems multiple times during his speech. The New England state's voters supported Hillary Clinton in the 2016 presidential election, but narrowly.
In a statement, Shaheen said it is her hope that "today's announcement means the Trump administration is going to finally prioritize the opioid crisis that continues to devastate families all across New Hampshire".
Addiction to opioids - mainly prescription painkillers, heroin and fentanyl - is a growing US problem, especially in rural areas. It also seeks to boost drug abuse prevention efforts, improve opioid prescription practices and expand access to treatment. He was flanked by members of law enforcement and at one point allowed the parents of a man who died of an overdose to speak onstage about their son, who became addicted to drugs after taking a prescription opioid and later died of an overdose.
Sex And The City star Cynthia Nixon running for NY governor
Republican leaders, meanwhile, have been coalescing behind Dutchess County Executive Marc Molinaro as a candidate, with state Sen. Miranda Hobbes for Governor? However, given his close connections to Nixon, de Blasio is unlikely to support Cuomo this time.
Trump repeated his call for Congress "to block funds for sanctuary cities and to close the deadly loophole", he said, drowned out by applause from about 500 people.
Eight firefighters stood in front of a truck emblazoned with "Rescue 1".
Granite Recovery Centers CEO Eric Spofford said he does not believe the death penalty will deter dealers.
It's a fate for drug dealers that Trump has been highlighting publicly in recent weeks. Trump also plans to ask Congress to decrease the amount of powerful synthetic opioids necessary to trigger mandatory minimum sentences. Retiring Sen. Jeff Flake, a persistent Trump critic, visited New Hampshire, which holds the nation's first presidential primary, last week. The Washington Post published the transcripts. The state has the third highest rate of drug overdose deaths.
Overall, the White House plan is aimed at paring the national demand for opioids, slash the flow of illicit drugs and help more people get treatment.
"We don't have much of a drug problem", these leaders reply, according to the president's telling. "And that toughness includes the death penalty".
"We will not incarcerate or execute our way out of the opioid epidemic", Democratic senator Ed Markey said last week.
"Unless you have really, really powerful penalties, we are going to get nowhere", said Trump during a speech for invited guests at Manchester Community College.
White House officials referred questions about the death penalty and drug traffickers to the Justice Department, which said the federal death penalty is available for several limited drug-related offenses, including violations of the "drug kingpin" provisions in federal law. Doug Berman, a law professor at Ohio State University, predicted the issue would be litigated all the way to the U.S. Supreme Court. Opioids includes illegal drugs such as heroin or fentanyl, as well as legal prescription painkillers such as oxycodone, hydrocodone, codeine, and morphine. "They're protected by these cities", Trump said.