In a post on Twitter - which received thousands of retweets, likes and supportive comments - Stokes said a reporter had turned up at his parents' home in New Zealand "out of the blue" to ask them about the tragedy.
The Sun said it had contacted Stokes before printing the article and "at no stage did he or his representatives ask us not to publish the story".
It reported in its story that the couple and the cricketer had declined to comment.
The case comes after Prince Harry announced legal action against the publisher of the Sun and and the Daily Mirror newspapers over alleged phone hacking.
Meghan Markle is suing the Mail on Sunday after it published parts of a personal letter written by her to her father Thomas Markle about the breakdown of their relationship.