On Saturday, the record five-time champions found it easy to beat ES Urumuri 53-28, with Jean Damour Ntamugabumwe and Siboniyo Philippe scoring eight goals each.
Viateur Rwamanywa also scored six goals.
Day 16 on Sunday was no different. The 2014, 2015 and 2016 champions made no mistake to keep heads high on the championship by thrashing Nyakabanda Handball Club 45-19.
With three games left to the end of the season, the law enforcers have won all championship matches and sits at the summit of the 11-team table with maximum 48 points, seven ahead of second placed and defending champions, APR, although the latter has two games in hand.
In the remaining matches, Police will face Inkumburwa on August 26; ADEGI on September 1; and APR on September 9.
Should Police go ahead to win the trophy unbeaten, it will be then third time they have registered similar record following the same impressive seasons of 2015 and and 2016.
Shortly after the game, Senior Sergeant Turatsinze Dismass, the Police side head coach, thanked his players for working as a team, which he said guided the team to a well deserved victory.
Police Handball Club will represent the country in the Eastern Africa Police Chiefs Cooperation Organization (EAPCCO) games to be held between August 6th and 12th in Kenya.