The 22-year-old was killed, along with his father and brother, in an accident on the family farm in Northern Ireland last weekend.
A minute's silence will be observed before all six Premiership games, starting with Sale's match against London Welsh tonight and followed by matches hosted by London Irish, Northampton, Gloucester, Leicester and Exeter.
Sale, meanwhile, will also remember Greater Manchester Police officers Nicola Hughes and Fiona Bone, who were killed in a gun and grenade attack earlier this week.
"After the devastating events of last weekend, it is entirely appropriate that the whole of the rugby world remembers Nevin and his family this weekend," Premiership Rugby rugby director Phil Winstanley said.
"In times like these rugby as a sport pulls together, and Premiership Rugby and all the Aviva Premiership clubs want to remember Nevin and show support for his family and for Ulster Rugby at this extremely difficult time."
Gilbert has released a new line of rugby cleats. The Gilbert Virtuo 8S is part of the exciting new product. Check it out.
The entire All Blacks apparel line has been updated for 2013/14. Check out the New Zealand All Blacks polo.
The Nike Tiempo is a solid rugby cleat and one of few styles still made from full-grain natural leather.
The Gilbert Blitz 8S rugby cleat is a great cleat at a great price of $69.99. Get a new pair of cleats today.
A cool looking all black rugby cleat with the high performance adidas is known for. Get in the Gear!
Wear the crest of the British and Irish Lions on your t-shirt. A great look for the summer.
The All Blacks Performance t-shirt is black with hints of blue from the training jersey. Very Cool.
The New Zealand All Blacks training jersey for 2013/14. Get in the Gear!
The USA Rugby Pro Alternate rugby jersey is perfect for any fan of the Eagles. Get yours to wear during the summer Test matches.
The NEW All Blacks 2013/14 jersey has arrived at World Rugby Shop. Dare to wear the colors of the All Blacks.