The family first took part in Weston Park Hospital Cancer Charity’s Run in the Park, held in Graves Park in Sheffield, in 2010, just a few months after Louise Mumford was diagnosed with cancer.
Mr Mumford, 43, said: “It has been a hard year but the boys amaze me at how well they have coped and still continue to do well at school, which is what their mum would have wanted.
“We’re looking forward to continuing tradition and taking part this year in Louise’s honour.
She was a very special woman who touched the lives of many.”
Mrs Mumford, a teaching assistant at Mundella Primary School in Norton Lees, was diagnosed with skin cancer aged 40.
She underwent chemotherapy, radiotherapy and also received treatment as part of a clinical trial at Weston Park Hospital, but in the summer of 2011 the family were told the cancer had spread and was now terminal.
She died in the spring of 2012.
Mr Mumford will be running the race on Sunday, July 14 with his sons Sam, 13, and Ben, 11.
By coincidence, the event – featuring a 10k run and a 3k fun run – is held at Graves Park, which Mr Mumford helps to manage in his role as area parks officer with Sheffield Council.
Recently the family planted a memorial tree and small wildflower meadow within the park in memory of Mrs Mumford.
“The treatment she received at Weston Park was first class”, Mr Mumford added.