Rabbi David Lau was asked why Israel's ultra-Orthodox newspapers described the Tree of Life Synagogue as a "Jewish center."
The president's policies were a factor in Saturday's events, Jewish group Bend the Arc: Pittsburgh said.
"He gets up in the morning with new and inventive ways to divide us. And it's not enough that on the day of a tragedy he says the right words, if, every day of the year, he's saying things to bring us into conflict with each other."
Trump suggested the tragic event could have been prevented if the synagogue had armed guards.
"May the Lord help us to put out the hotbeds of hate that flare up in our societies," Pope Francis said on Sunday, mourning the victims of Saturday's shooting at a synagogue in Pittsburgh.
A social media account appearing to belong to Robert Bowers, 46, had railed against the Hebrew Immigrant Aid Society, accusing it of helping Central Americans traveling towards the U.S. border to seek asylum.
President Donald Trump's son Eric complained that "somebody has to point a political finger to absolutely everything" after the Pittsburgh synagogue shooting.
Bowers's social media posts reflect he was anti-Jew and anti-Trump.
"If they had protection inside, the results would have been far better," Trump told reporters before boarding Air Force One on Saturday.
Police are responding to an active shooter situation at Tree of Life synagogue in Pittsburgh, Pennsylvania.
"Ironically, there was a later question about the need for civility in politics," GOP candidate Brian Fitzpatrick told WBCB News.
Investigators initially said hate crime charges would be file against the alleged attacker, but an investigation led them to believe it was a case of road rage.
How are the High Holidays celebrated? Why did most Jewish leaders skip a call with Donald Trump? A brief FAQ.
Osteen even spoke at a Rosh Hashana service on Thursday: "It's interesting how God can take something negative and turn it around and somehow bring good out of it."
The 'whole country is on notice' about the need for security with violence and vandalism on the rise.
The decision has "effectively placed in jeopardy the future of Jewish life in Australia," said one leader.
Danish police arrested a further two suspects after Danish media named the suspected gunman.
One Jewish protection group with 3,000 volunteers say they are increasing community training.
Police shot a man after he stabbed a 22-year-old Israeli student in the head.