While prednisone certainly can increase your BP, as Mrs D says, there are other factors which are important also. Blood pressure can move up and down for reasons that may never be clear, but when the overall picture is hypertension, it's probably important to detach from the neuropathy/connective model and begin to think about general lifestyle issues: weight, diet, exercise. So, without any intention to offend---is your weight under control? Are you eating a heart-healthy diet? Are you getting any exercise? Yes, I know the last is hard for us, but the thing that bowled me over early in learning that I had pn was an article by Dr Latov, showing that people don't die of pn; they die of becoming sedentary and overweight.

Here's WebMD on the hypertension: http://www.webmd.com/content/article/96/103783.htm