Three Lions boss Roy Hodgson has something of a dilemma up front this season, with a number of options currently available to him.
Vardy and Kane have led the goal-scoring charts in the Premier League, while Daniel Sturridge and Danny Welbeck have come back from long-term injuries and impressed in recent months.
Wayne Rooney is also expected to retain his place despite his current injury, but Hurst believes that Kane and Vardy should both feature in this summer’s tournament in France.
“I’d go with the two front players who have had fantastic seasons – Vardy and Kane,” he told talkSPORT.
“They deserve to be in the team and deserve their chance. I’m not sure whether you can play both of them together, but surely one of them deserves it.
“But Vardy and Kane deserve to be in the team, it’s as simple as that. Their performances have been fantastic this season, they’re scoring goals like nobody’s business."
While there is a question over whether Kane and Vardy should start, the bigger problem is arguably captain Rooney.
He had not enjoyed the best of campaigns with Manchester United before his setback and his injury is not likely to help that.
Indeed, there is a question over whether he should be in the squad at all, with many believing it would be unwise to pick a half-fit player ahead of someone else.