The man, Mohammed Yassar Yaqub, died after being shot by police during a "pre-planned policing operation" near the M62 motorway in Huddersfield.
Forensic investigators on the scene and armed police have been at the man's home in a cul-de-sac in the Crosland Moor area of Huddersfield.
Mr Yaqub’s family said they did not want to speak at his home in a cul-de-sac in the Crosland Moor area of the town.
But flowers were taken to the house and a number of relatives arrived, some embracing as they went into the property.
Five people have been arrested - three in Huddersfield and two in Bradford.