Mr Clare joins the board on 1 July, Rubik said in a statement. He has been in the banking industry since 1995 and was the CEO of Westpac New Zealand up until 2014.
"Attracting someone of Peter’s calibre is a testament to Rubik’s increasing maturity and vision for growth," Rubik chairman Craig Coleman said.
"Peter’s skills and experience, combined with his network in the banking and technology sectors, will be of great value in helping to drive Rubik’s future success."
Mr Clare said: "I’m excited by the opportunity Rubik presents.
"The fact that Rubik is front and centre of providing solutions that move clients from legacy systems to cloud-based platforms fits perfectly with my professional experience in banking and my passion for technology."