NEW YORK  — Police investigating the death of a 1-year-old boy shot in the head in his stroller said Monday they believe his father, Anthony Hennis, was the target.

Authorities have some leads in the killing of Antiq Hennis on a Brooklyn street on Sunday night and believe his death may be gang-related.

Hennis, 21, had just gone to pick up Antiq at the home of the baby’s mother, Cherise Miller to take him to visit Hennis’ grandmother, police said. Hennis put the boy in the stroller and was pushing him across a street in the Brownsville neighborhood when shots rang out, police said.

Grief and outrage over Antiq’s shooting loomed over the annual West Indian Day Parade about a mile and a half away, where Mayor Michael Bloomberg called the killing “a tragedy for his family, for this community, for the entire city” and political candidates talked about gun violence.

Four shots were fired, and one hit Antiq in the left side of his head; he was declared dead on arrival at a hospital.