Adam Lewis said the impact of the crash was "overwhelming" but said he was just thankful his family were still alive.
"You don't expect a big white van to come and smack you off the pavement," he told Sky News, adding, "Why someone would ever want to do that I will never know."
Mr Lewis said "our hearts go out" to the family of Karina Menzies, who was killed in a separate attack during the hit-and-run rampage, and admitted: "We are so relieved we're still ok."
Mr Lewis said his "brave" partner will have an operation to put pins in her leg after breaking her fibula and tibula in the crash, while a hairline fracture in her ankle will be strapped. She also wounded her left hip. He added that his two-year-old "had been incredibly brave."
Hundreds gathered to share their grief at a sombre church and prayer service after a hit-and-run rampage left one mother dead.
The shocked community of Ely in Cardiff will gather to pray for the victims of Friday's terrible hit-and-run attacks in the Welsh capital.