A 33-year-old woman from Accrington and a 45-year-old man from Accrington were arrested last night (January 20) on suspicion of murder.
They are currently in custody.
Police were called to a report that a man had been stabbed at an address on Edleston Street in Accrington shortly before 1pm on Sunday (January 19).
Officers and paramedics attended the address but despite their efforts the man was pronounced dead at the scene.
He has now been identified as Mark Fisher, 33, who lived at the address.
His family are aware and are being supported by specially trained officers.
In a tribute Mark’s family said: "As a family we are heartbroken.
"Mark was much loved by all of his family and we miss him so much.
"We desperately need to know what happened to Mark and would appeal to anybody that knows anything to contact the police.”
Two people previously arrested on suspicion of Mr Fisher’s murder have now been released from custody.
A 37-year-old man from Accrington has been released without charge.
A 35-year-old woman, also from Accrington, has been released under investigation pending further enquiries.
Mr Fisher had suffered a number of stab wounds and a Home Office post-mortem examination has since given a cause of death of multiple stab wounds.
Detectives are continuing to probe the circumstances of Mr Fisher’s death and are carrying out CCTV enquiries, house to house enquiries and other lines of investigation.
Det Chief Insp Jill Johnston, of the Force Major Investigation Team, is leading the inquiry.
She said: “Our thoughts very much remain with Mr Fisher’s family and friends at what is an extremely traumatic time.
“I have a team of detectives and staff working on this investigation and I would like to stress that we are continuing to work around the clock to establish exactly what happened.
"While we have made a number of arrests, our enquiries are ongoing.
“I would appeal for anyone who has any information which could assist us to come forward if they haven’t already.
"Even if you think the information you have is insignificant please get in touch and let us be the judge.”
"These rumours are untrue and we would ask people not to repeat them or to speculate."
Police are appealing for any witnesses or anyone who may have information to get in touch.
Anyone with information should contact police on 101 quoting log number 0684 of Sunday, January 19.
Alternatively, independent charity Crimestoppers can be contacted anonymously on 0800 555 111.