EAST RUTHERFORD, N.J.—Earlier this year, the Tampa Bay Buccaneers asked to interview Giants assistant coach Kevin M. Gilbride for a position in Florida. The Giants denied the request and later promoted Gilbride to wide-receivers coach.


Watch Off Duty Videos on YouTube

From Giants to Jets: The Morphing of MetLife Stadium

That delighted the coach's father. It also created a source of angst.

The Giants' father-son pair: assistants Kevin Gilbride and son Kevin. Associated Press

Gilbride's pop, also named Kevin Gilbride, is the Giants' offensive coordinator. With junior's new position, father gets to watch son like never before.

"I've seen him grow as a coach," the elder Gilbride said, "his ability to express and explain things to the players." The downside? "There's an anxiety level that would not have existed if it wasn't your offspring that was doing that."

The younger Gilbride joined the Giants in 2010, giving the league another father-son coaching duo. Washington Redskins offensive coordinator Kyle Shanahan works for his father, head coach Mike Shanahan. Also, Jim L. Mora coached under his father, head coach Jim E. Mora, with the New Orleans Saints in the 1990s.

Gilbride, 32, was Temple's wide-receivers coach when the Giants made him their offensive quality-control coach. In that entry-level position, he helped his father by reviewing videos to prepare for games—a salaried version of what he did when he was an adolescent and his father was a coach for the Houston Oilers.

He was promoted after the Giants won the Super Bowl this off-season. Now he works with Victor Cruz, Hakeem Nicks and other wide receivers every day. He also interacts with dad more.

"Now I see him on a daily basis, which is pretty great, mostly because I get to learn," Gilbride said. "He's a wonderful teacher."

Gilbride said he is unsure if his father, who calls him "Kev" in the office, treats him differently than the other coaches. He said he doesn't see any visible signs of his father's angst over having his son on his staff. "I'll let him have the anxiety," he said. "I'll just worry about the teaching of the players."

The Gilbrides don't resemble each other. The father is mustachioed and stout, while the son is clean-shaven and has the lean frame of a quarterback, a position he played at Hawaii. But both are polite and personable, easy to talk to about topics outside football.

The two say they rarely talk or see each other outside the office. One example: The senior Gilbride, 61, said he was planning to spend his bye week seeing the family in their New England home. "I'll be going back home to Rhode Island, and he'll probably stay here," he said of his son.

The younger Gilbride's plans: "I'm actually going to see my mom and my niece and spend a little time with my dad," he said. "My dad doesn't know. Why? Because we've been working. We haven't talked about it."

Write to Stu Woo at Stu.Woo@wsj.com