cross-party
cross-par ty ▶adjective involving or relating to two or more political parties. usage: Although it appears occasionally in American writing to denote cooperation between the two main political parties, the term cross-party does not compete very effectively with the default term bipartisan. Cross-party is far more common in other English dialects, and in American English to describe political cooperation in other countries.
cross-party ▶adjective involving or relating to two or more political parties: a cross-party committee of MPs.