The U.S. military did not identify the targets nor offer any casualty figures from the strikes.
A second strike, targeting a telecommunications building, killed at least three children and knocked the internet offline.
The Palestinian American congresswoman said the president must do more to protect civilians. At least 218 Palestinians have died so far in Israeli attacks.
Israelis and Palestinians are in the midst of an intensifying conflict.
Soleimani was one of the most powerful figures in the Mideast. The U.S. confirmed it targeted the general in a monumental escalation toward Iran.
Afghan and international forces killed more than 700 civilians in the first six months of the year.
The figure is hundreds more than the number the U.S.-led coalition claims over the entire four-year campaign against IS, the groups said.
“President Trump, I’m speaking to you directly,” Bassam Rifai said during an interview on Fox News.
More than a dozen children are among the dead.
It's unknown who was behind the attack.