This is according to DRC's Presidency.
The meeting took place one week after Washington said it was open to exploring critical minerals partnerships with DRC. A Congolese lawmaker in February contacted US officials to pitch a minerals-for-security deal.
A Presidency statement described Jackson as a "special envoy" for US President Donald Trump.
Tshisekedi faces an insurgency by Rwanda-backed M23 rebels in east DRC and his government plans to send a delegation to peace talks in Angola on Tuesday.
DRC has vast reserves of cobalt, lithium and uranium among other minerals.
The government has not publicly detailed a proposal for a deal with the US, saying only that it was seeking diversified partnerships.
There was no direct mention of minerals in Sunday's statement.
"We want to work so that American companies can come and invest and work in the DRC. And to do that, we have to make sure that there is a peaceful environment," Jackson was quoted as saying in the statement.
Byron Cabrol, Senior Africa analyst at Dragonfly, said last week it would be a struggle to entice US mining companies to invest in DRC due to poor infrastructure, insecurity, corruption and the dominance of Chinese firms.
--Reuters--