Soleimani is the head of the Iranian Revolutionary Guard's elite Al-Quds expeditionary force, which is fighting in both Iraq and Syria. The powerful attack which was in response to Iran firing rockets at territories that are held by Israel.
The UK envoy added: "We urge Iran to refrain from further actions which will only lead to increased instability in the region".
The sortie came after Iran fired 20 missiles toward Israel just after midnight on Thursday morning, the IDF said, forcing residents of the north into bomb shelters. Israel said it was responding to rocket attacks against military positions in the occupied Golan Heights.
Iran has deployed hundreds of troops in Syria, apparently as military advisers to the Syrian military.
"The agency's safeguards activities will continue to be carried out in a highly professional manner", a spokesperson for the agency said on Friday.
Asked how he could reassure Iranian citizens, he said: "We are faithful to our commitments".
"Whoever hits us will get hit seven times over. I hope that we ended this chapter and that everyone understood".
The disproportionate response by Israel is seen as an indication of their resolve to push Iran out of Syria and back to Tehran, regardless of the threat of a more widespread war in the Middle East. Iran is portraying Thursday's strikes as an attack on Syria as well as themselves. All fell in Syria or were intercepted by the Iron Dome. The incoming attack set off air raid sirens in the Israeli-controlled Golan, which was captured from Syria in the 1967 Mideast war.
Among the targets picked by Israeli forces were an ammo depot near Damascus and a radar installation. One video posted online showed a large explosion and shrapnel flying in the air.
Netanyahu also warned Syria that Israel would retaliate if the Syrian military acted against his country.
Syrian state TV and the Observatory said police forces were getting ready to enter the area on Friday to guarantee security. "Our reaction was a effect", the Israeli leader said in a video posted on social media.
The Quds Force has been busy in Iran, building missile and rocket bases, drone bases, importing Shi'ite militia forces and trafficking heavy weapons into the region. "However, if the Syrian military acts against us, we will act against it". He said that all the targets selected by Israeli forces were "Syrian" and that Iran "had nothing to do with it".
The leader of the U.S. Central Command, General Joseph Votel, said Iran's attempts to strike Israeli targets were "highly risky".
Iran had nothing to do with missiles fired at Israel late on Wednesday night, a senior official from Tehran said.