Developments on Tuesday were "worrying signs," and any solution must be diplomatic rather than military, Store said, according to Norwegian broadcaster NRK.
"You will not get ships out of the Strait of Hormuz by pursuing a military track. This has to move into something diplomatic," Store was quoted as saying, Xinhua reported.
He added that Trump's threats carried serious implications for civilians and expressed hope that the remarks would remain words rather than lead to action.
Also on Tuesday, Norwegian Foreign Minister Espen Barth Eide said in a statement that the Middle East was facing "a very dramatic and dangerous 24 hours."
He said Trump's threats of further escalation were "deeply worrying," and cautioned that the situation could deteriorate further.