Following a family quarrel Denis Yevsyukov, 32, took a taxi to a supermarket in southern Moscow shortly after midnight on Monday, where he shot the driver dead, before walking into the store and killing two more people. Six people were wounded in the attack.
Moscow Interior Ministry's Department had earlier expressed its dissatisfaction with Ageyev's performance and said last week that the high-ranking officer had submitted a letter of resignation on April 20.
Moscow's Southern Administrative District includes the Tsaritsino district, where Yevsyukov was appointed as district police chief last November.
Russian Interior Minister Rashid Nurgaliyev said on Tuesday in an interview with Russia's Vesti news channel that the ministry would provide support and assistance to all the victims and their families.